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Finding the Fourth Proportional to 1,903.20, 2,854.80 and 1,417.20

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Solution

The fourth proportional to 1,903.20, 2,854.80 and 1,417.20 is: 2,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.20 : 2,854.80 = 1,417.20 : x
  2. Step 2: Convert to fraction form
    1,903.20/2,854.80 = 1,417.20/x
  3. Step 3: Cross multiply
    1,903.20x = 2,854.80 × 1,417.20
  4. Step 4: Simplify right side
    1,903.20x = 4,045,822.56
  5. Step 5: Solve for x
    x = 4,045,822.56/1,903.20
  6. Step 6: Final answer
    x = 2,125.80

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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.