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Finding the Fourth Proportional to 2,417.60, 3,615.60 and 2,028.80

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Solution

The fourth proportional to 2,417.60, 3,615.60 and 2,028.80 is: 3,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.60 : 3,615.60 = 2,028.80 : x
  2. Step 2: Convert to fraction form
    2,417.60/3,615.60 = 2,028.80/x
  3. Step 3: Cross multiply
    2,417.60x = 3,615.60 × 2,028.80
  4. Step 4: Simplify right side
    2,417.60x = 7,335,329.28
  5. Step 5: Solve for x
    x = 7,335,329.28/2,417.60
  6. Step 6: Final answer
    x = 3,034.14

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1.5x scale

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.