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Finding the Fourth Proportional to 2,675.64, 3,690.18 and 2,047.08

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Solution

The fourth proportional to 2,675.64, 3,690.18 and 2,047.08 is: 2,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.64 : 3,690.18 = 2,047.08 : x
  2. Step 2: Convert to fraction form
    2,675.64/3,690.18 = 2,047.08/x
  3. Step 3: Cross multiply
    2,675.64x = 3,690.18 × 2,047.08
  4. Step 4: Simplify right side
    2,675.64x = 7,554,093.67
  5. Step 5: Solve for x
    x = 7,554,093.67/2,675.64
  6. Step 6: Final answer
    x = 2,823.28

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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.