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Finding the Fourth Proportional to 1,508.95, 2,077 and 1,115.29

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Solution

The fourth proportional to 1,508.95, 2,077 and 1,115.29 is: 1,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.95 : 2,077 = 1,115.29 : x
  2. Step 2: Convert to fraction form
    1,508.95/2,077 = 1,115.29/x
  3. Step 3: Cross multiply
    1,508.95x = 2,077 × 1,115.29
  4. Step 4: Simplify right side
    1,508.95x = 2,316,457.33
  5. Step 5: Solve for x
    x = 2,316,457.33/1,508.95
  6. Step 6: Final answer
    x = 1,535.15

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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.