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Finding the Fourth Proportional to 1,564.01, 2,157.15 and 934.49

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Solution

The fourth proportional to 1,564.01, 2,157.15 and 934.49 is: 1,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.01 : 2,157.15 = 934.49 : x
  2. Step 2: Convert to fraction form
    1,564.01/2,157.15 = 934.49/x
  3. Step 3: Cross multiply
    1,564.01x = 2,157.15 × 934.49
  4. Step 4: Simplify right side
    1,564.01x = 2,015,835.10
  5. Step 5: Solve for x
    x = 2,015,835.10/1,564.01
  6. Step 6: Final answer
    x = 1,288.89

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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.