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Finding the Fourth Proportional to 2,386.71, 3,578.58 and 925.53

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Solution

The fourth proportional to 2,386.71, 3,578.58 and 925.53 is: 1,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.71 : 3,578.58 = 925.53 : x
  2. Step 2: Convert to fraction form
    2,386.71/3,578.58 = 925.53/x
  3. Step 3: Cross multiply
    2,386.71x = 3,578.58 × 925.53
  4. Step 4: Simplify right side
    2,386.71x = 3,312,083.15
  5. Step 5: Solve for x
    x = 3,312,083.15/2,386.71
  6. Step 6: Final answer
    x = 1,387.72

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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.