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Finding the Fourth Proportional to 1,497.90, 2,069.95 and 1,124.23

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Solution

The fourth proportional to 1,497.90, 2,069.95 and 1,124.23 is: 1,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.90 : 2,069.95 = 1,124.23 : x
  2. Step 2: Convert to fraction form
    1,497.90/2,069.95 = 1,124.23/x
  3. Step 3: Cross multiply
    1,497.90x = 2,069.95 × 1,124.23
  4. Step 4: Simplify right side
    1,497.90x = 2,327,099.89
  5. Step 5: Solve for x
    x = 2,327,099.89/1,497.90
  6. Step 6: Final answer
    x = 1,553.57

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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.