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Finding the Fourth Proportional to 1,869.52, 2,580.86 and 1,448.92

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Solution

The fourth proportional to 1,869.52, 2,580.86 and 1,448.92 is: 2,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.52 : 2,580.86 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    1,869.52/2,580.86 = 1,448.92/x
  3. Step 3: Cross multiply
    1,869.52x = 2,580.86 × 1,448.92
  4. Step 4: Simplify right side
    1,869.52x = 3,739,456.84
  5. Step 5: Solve for x
    x = 3,739,456.84/1,869.52
  6. Step 6: Final answer
    x = 2,000.23

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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.