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Finding the Fourth Proportional to 1,547.91, 2,136.24 and 988.47

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Solution

The fourth proportional to 1,547.91, 2,136.24 and 988.47 is: 1,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.91 : 2,136.24 = 988.47 : x
  2. Step 2: Convert to fraction form
    1,547.91/2,136.24 = 988.47/x
  3. Step 3: Cross multiply
    1,547.91x = 2,136.24 × 988.47
  4. Step 4: Simplify right side
    1,547.91x = 2,111,609.15
  5. Step 5: Solve for x
    x = 2,111,609.15/1,547.91
  6. Step 6: Final answer
    x = 1,364.17

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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.