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Finding the Fourth Proportional to 1,855.53, 2,781.14 and 1,032.57

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Solution

The fourth proportional to 1,855.53, 2,781.14 and 1,032.57 is: 1,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.53 : 2,781.14 = 1,032.57 : x
  2. Step 2: Convert to fraction form
    1,855.53/2,781.14 = 1,032.57/x
  3. Step 3: Cross multiply
    1,855.53x = 2,781.14 × 1,032.57
  4. Step 4: Simplify right side
    1,855.53x = 2,871,716.57
  5. Step 5: Solve for x
    x = 2,871,716.57/1,855.53
  6. Step 6: Final answer
    x = 1,547.65

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Why These Related Problems?

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