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Finding the Fourth Proportional to 1,535.66, 2,119.47 and 906.29

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Solution

The fourth proportional to 1,535.66, 2,119.47 and 906.29 is: 1,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.66 : 2,119.47 = 906.29 : x
  2. Step 2: Convert to fraction form
    1,535.66/2,119.47 = 906.29/x
  3. Step 3: Cross multiply
    1,535.66x = 2,119.47 × 906.29
  4. Step 4: Simplify right side
    1,535.66x = 1,920,848.42
  5. Step 5: Solve for x
    x = 1,920,848.42/1,535.66
  6. Step 6: Final answer
    x = 1,250.83

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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.