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Finding the Fourth Proportional to 1,497.76, 2,068.76 and 1,057.62

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Solution

The fourth proportional to 1,497.76, 2,068.76 and 1,057.62 is: 1,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.76 : 2,068.76 = 1,057.62 : x
  2. Step 2: Convert to fraction form
    1,497.76/2,068.76 = 1,057.62/x
  3. Step 3: Cross multiply
    1,497.76x = 2,068.76 × 1,057.62
  4. Step 4: Simplify right side
    1,497.76x = 2,187,966.40
  5. Step 5: Solve for x
    x = 2,187,966.40/1,497.76
  6. Step 6: Final answer
    x = 1,460.83

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1.5x scale

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.