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Finding the Fourth Proportional to 2,307.71, 3,187.29 and 1,681.04

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Solution

The fourth proportional to 2,307.71, 3,187.29 and 1,681.04 is: 2,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.71 : 3,187.29 = 1,681.04 : x
  2. Step 2: Convert to fraction form
    2,307.71/3,187.29 = 1,681.04/x
  3. Step 3: Cross multiply
    2,307.71x = 3,187.29 × 1,681.04
  4. Step 4: Simplify right side
    2,307.71x = 5,357,961.98
  5. Step 5: Solve for x
    x = 5,357,961.98/2,307.71
  6. Step 6: Final answer
    x = 2,321.77

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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.