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Finding the Fourth Proportional to 1,535.70, 2,119.20 and 837.08

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Solution

The fourth proportional to 1,535.70, 2,119.20 and 837.08 is: 1,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.70 : 2,119.20 = 837.08 : x
  2. Step 2: Convert to fraction form
    1,535.70/2,119.20 = 837.08/x
  3. Step 3: Cross multiply
    1,535.70x = 2,119.20 × 837.08
  4. Step 4: Simplify right side
    1,535.70x = 1,773,939.94
  5. Step 5: Solve for x
    x = 1,773,939.94/1,535.70
  6. Step 6: Final answer
    x = 1,155.13

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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.