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Finding the Fourth Proportional to 1,564.92, 2,159.46 and 901.83

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Solution

The fourth proportional to 1,564.92, 2,159.46 and 901.83 is: 1,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.92 : 2,159.46 = 901.83 : x
  2. Step 2: Convert to fraction form
    1,564.92/2,159.46 = 901.83/x
  3. Step 3: Cross multiply
    1,564.92x = 2,159.46 × 901.83
  4. Step 4: Simplify right side
    1,564.92x = 1,947,473.91
  5. Step 5: Solve for x
    x = 1,947,473.91/1,564.92
  6. Step 6: Final answer
    x = 1,244.46

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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.