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Finding the Fourth Proportional to 1,743,610.64, 2,407,256.16 and 1,382,493.20

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Solution

The fourth proportional to 1,743,610.64, 2,407,256.16 and 1,382,493.20 is: 1,908,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,610.64 : 2,407,256.16 = 1,382,493.20 : x
  2. Step 2: Convert to fraction form
    1,743,610.64/2,407,256.16 = 1,382,493.20/x
  3. Step 3: Cross multiply
    1,743,610.64x = 2,407,256.16 × 1,382,493.20
  4. Step 4: Simplify right side
    1,743,610.64x = 3,328,015,271,858.11
  5. Step 5: Solve for x
    x = 3,328,015,271,858.11/1,743,610.64
  6. Step 6: Final answer
    x = 1,908,691.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.