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Finding the Fourth Proportional to 1,564.70, 2,159.43 and 901.70

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Solution

The fourth proportional to 1,564.70, 2,159.43 and 901.70 is: 1,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.70 : 2,159.43 = 901.70 : x
  2. Step 2: Convert to fraction form
    1,564.70/2,159.43 = 901.70/x
  3. Step 3: Cross multiply
    1,564.70x = 2,159.43 × 901.70
  4. Step 4: Simplify right side
    1,564.70x = 1,947,158.03
  5. Step 5: Solve for x
    x = 1,947,158.03/1,564.70
  6. Step 6: Final answer
    x = 1,244.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.