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Finding the Fourth Proportional to 1,535.52, 2,119.02 and 836.90

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Solution

The fourth proportional to 1,535.52, 2,119.02 and 836.90 is: 1,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.52 : 2,119.02 = 836.90 : x
  2. Step 2: Convert to fraction form
    1,535.52/2,119.02 = 836.90/x
  3. Step 3: Cross multiply
    1,535.52x = 2,119.02 × 836.90
  4. Step 4: Simplify right side
    1,535.52x = 1,773,407.84
  5. Step 5: Solve for x
    x = 1,773,407.84/1,535.52
  6. Step 6: Final answer
    x = 1,154.92

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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.