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Finding the Fourth Proportional to 2,478.80, 3,417 and 1,545.68

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Solution

The fourth proportional to 2,478.80, 3,417 and 1,545.68 is: 2,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.80 : 3,417 = 1,545.68 : x
  2. Step 2: Convert to fraction form
    2,478.80/3,417 = 1,545.68/x
  3. Step 3: Cross multiply
    2,478.80x = 3,417 × 1,545.68
  4. Step 4: Simplify right side
    2,478.80x = 5,281,588.56
  5. Step 5: Solve for x
    x = 5,281,588.56/2,478.80
  6. Step 6: Final answer
    x = 2,130.70

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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.