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Finding the Fourth Proportional to 1,564.29, 2,158.83 and 901.35

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Solution

The fourth proportional to 1,564.29, 2,158.83 and 901.35 is: 1,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.29 : 2,158.83 = 901.35 : x
  2. Step 2: Convert to fraction form
    1,564.29/2,158.83 = 901.35/x
  3. Step 3: Cross multiply
    1,564.29x = 2,158.83 × 901.35
  4. Step 4: Simplify right side
    1,564.29x = 1,945,861.42
  5. Step 5: Solve for x
    x = 1,945,861.42/1,564.29
  6. Step 6: Final answer
    x = 1,243.93

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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.