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Finding the Fourth Proportional to 1,564.97, 2,159.72 and 901.91

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Solution

The fourth proportional to 1,564.97, 2,159.72 and 901.91 is: 1,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.97 : 2,159.72 = 901.91 : x
  2. Step 2: Convert to fraction form
    1,564.97/2,159.72 = 901.91/x
  3. Step 3: Cross multiply
    1,564.97x = 2,159.72 × 901.91
  4. Step 4: Simplify right side
    1,564.97x = 1,947,857.76
  5. Step 5: Solve for x
    x = 1,947,857.76/1,564.97
  6. Step 6: Final answer
    x = 1,244.67

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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.