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Finding the Fourth Proportional to 2,666.72, 3,681.60 and 1,785.44

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Solution

The fourth proportional to 2,666.72, 3,681.60 and 1,785.44 is: 2,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.72 : 3,681.60 = 1,785.44 : x
  2. Step 2: Convert to fraction form
    2,666.72/3,681.60 = 1,785.44/x
  3. Step 3: Cross multiply
    2,666.72x = 3,681.60 × 1,785.44
  4. Step 4: Simplify right side
    2,666.72x = 6,573,275.90
  5. Step 5: Solve for x
    x = 6,573,275.90/2,666.72
  6. Step 6: Final answer
    x = 2,464.93

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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.