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Finding the Fourth Proportional to 1,497.57, 2,068.50 and 1,057.44

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Solution

The fourth proportional to 1,497.57, 2,068.50 and 1,057.44 is: 1,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.57 : 2,068.50 = 1,057.44 : x
  2. Step 2: Convert to fraction form
    1,497.57/2,068.50 = 1,057.44/x
  3. Step 3: Cross multiply
    1,497.57x = 2,068.50 × 1,057.44
  4. Step 4: Simplify right side
    1,497.57x = 2,187,314.64
  5. Step 5: Solve for x
    x = 2,187,314.64/1,497.57
  6. Step 6: Final answer
    x = 1,460.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.