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Finding the Fourth Proportional to 1,497.77, 2,244.70 and 934.67

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Solution

The fourth proportional to 1,497.77, 2,244.70 and 934.67 is: 1,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.77 : 2,244.70 = 934.67 : x
  2. Step 2: Convert to fraction form
    1,497.77/2,244.70 = 934.67/x
  3. Step 3: Cross multiply
    1,497.77x = 2,244.70 × 934.67
  4. Step 4: Simplify right side
    1,497.77x = 2,098,053.75
  5. Step 5: Solve for x
    x = 2,098,053.75/1,497.77
  6. Step 6: Final answer
    x = 1,400.78

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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.