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Finding the Fourth Proportional to 2,256.51, 3,382.02 and 1,023.60

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Solution

The fourth proportional to 2,256.51, 3,382.02 and 1,023.60 is: 1,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.51 : 3,382.02 = 1,023.60 : x
  2. Step 2: Convert to fraction form
    2,256.51/3,382.02 = 1,023.60/x
  3. Step 3: Cross multiply
    2,256.51x = 3,382.02 × 1,023.60
  4. Step 4: Simplify right side
    2,256.51x = 3,461,835.67
  5. Step 5: Solve for x
    x = 3,461,835.67/2,256.51
  6. Step 6: Final answer
    x = 1,534.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.