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Finding the Fourth Proportional to 1,564.91, 2,159.57 and 901.89

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Solution

The fourth proportional to 1,564.91, 2,159.57 and 901.89 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.91 : 2,159.57 = 901.89 : x
  2. Step 2: Convert to fraction form
    1,564.91/2,159.57 = 901.89/x
  3. Step 3: Cross multiply
    1,564.91x = 2,159.57 × 901.89
  4. Step 4: Simplify right side
    1,564.91x = 1,947,690.08
  5. Step 5: Solve for x
    x = 1,947,690.08/1,564.91
  6. Step 6: Final answer
    x = 1,244.61

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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.