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Finding the Fourth Proportional to 2,407.60, 3,610.68 and 1,921.60

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Solution

The fourth proportional to 2,407.60, 3,610.68 and 1,921.60 is: 2,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.60 : 3,610.68 = 1,921.60 : x
  2. Step 2: Convert to fraction form
    2,407.60/3,610.68 = 1,921.60/x
  3. Step 3: Cross multiply
    2,407.60x = 3,610.68 × 1,921.60
  4. Step 4: Simplify right side
    2,407.60x = 6,938,282.69
  5. Step 5: Solve for x
    x = 6,938,282.69/2,407.60
  6. Step 6: Final answer
    x = 2,881.83

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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.