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Finding the Fourth Proportional to 1,580.34, 2,364.57 and 1,497

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Solution

The fourth proportional to 1,580.34, 2,364.57 and 1,497 is: 2,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.34 : 2,364.57 = 1,497 : x
  2. Step 2: Convert to fraction form
    1,580.34/2,364.57 = 1,497/x
  3. Step 3: Cross multiply
    1,580.34x = 2,364.57 × 1,497
  4. Step 4: Simplify right side
    1,580.34x = 3,539,761.29
  5. Step 5: Solve for x
    x = 3,539,761.29/1,580.34
  6. Step 6: Final answer
    x = 2,239.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.