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Finding the Fourth Proportional to 1,508.65, 2,082.96 and 942.35

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Solution

The fourth proportional to 1,508.65, 2,082.96 and 942.35 is: 1,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.65 : 2,082.96 = 942.35 : x
  2. Step 2: Convert to fraction form
    1,508.65/2,082.96 = 942.35/x
  3. Step 3: Cross multiply
    1,508.65x = 2,082.96 × 942.35
  4. Step 4: Simplify right side
    1,508.65x = 1,962,877.36
  5. Step 5: Solve for x
    x = 1,962,877.36/1,508.65
  6. Step 6: Final answer
    x = 1,301.08

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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.