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Finding the Fourth Proportional to 1,801.83, 2,484.87 and 1,137.53

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Solution

The fourth proportional to 1,801.83, 2,484.87 and 1,137.53 is: 1,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.83 : 2,484.87 = 1,137.53 : x
  2. Step 2: Convert to fraction form
    1,801.83/2,484.87 = 1,137.53/x
  3. Step 3: Cross multiply
    1,801.83x = 2,484.87 × 1,137.53
  4. Step 4: Simplify right side
    1,801.83x = 2,826,614.17
  5. Step 5: Solve for x
    x = 2,826,614.17/1,801.83
  6. Step 6: Final answer
    x = 1,568.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.