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Finding the Fourth Proportional to 1,547.78, 2,136.93 and 1,381.71

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Solution

The fourth proportional to 1,547.78, 2,136.93 and 1,381.71 is: 1,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.78 : 2,136.93 = 1,381.71 : x
  2. Step 2: Convert to fraction form
    1,547.78/2,136.93 = 1,381.71/x
  3. Step 3: Cross multiply
    1,547.78x = 2,136.93 × 1,381.71
  4. Step 4: Simplify right side
    1,547.78x = 2,952,617.55
  5. Step 5: Solve for x
    x = 2,952,617.55/1,547.78
  6. Step 6: Final answer
    x = 1,907.65

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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.