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Finding the Fourth Proportional to 1,357.43, 2,036.07 and 837.53

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Solution

The fourth proportional to 1,357.43, 2,036.07 and 837.53 is: 1,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.43 : 2,036.07 = 837.53 : x
  2. Step 2: Convert to fraction form
    1,357.43/2,036.07 = 837.53/x
  3. Step 3: Cross multiply
    1,357.43x = 2,036.07 × 837.53
  4. Step 4: Simplify right side
    1,357.43x = 1,705,269.71
  5. Step 5: Solve for x
    x = 1,705,269.71/1,357.43
  6. Step 6: Final answer
    x = 1,256.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.