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Finding the Fourth Proportional to 1,535.91, 2,119.55 and 837.29

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Solution

The fourth proportional to 1,535.91, 2,119.55 and 837.29 is: 1,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.91 : 2,119.55 = 837.29 : x
  2. Step 2: Convert to fraction form
    1,535.91/2,119.55 = 837.29/x
  3. Step 3: Cross multiply
    1,535.91x = 2,119.55 × 837.29
  4. Step 4: Simplify right side
    1,535.91x = 1,774,663.24
  5. Step 5: Solve for x
    x = 1,774,663.24/1,535.91
  6. Step 6: Final answer
    x = 1,155.45

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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.