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Finding the Fourth Proportional to 2,407.60, 3,607.35 and 2,059.30

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Solution

The fourth proportional to 2,407.60, 3,607.35 and 2,059.30 is: 3,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.60 : 3,607.35 = 2,059.30 : x
  2. Step 2: Convert to fraction form
    2,407.60/3,607.35 = 2,059.30/x
  3. Step 3: Cross multiply
    2,407.60x = 3,607.35 × 2,059.30
  4. Step 4: Simplify right side
    2,407.60x = 7,428,615.86
  5. Step 5: Solve for x
    x = 7,428,615.86/2,407.60
  6. Step 6: Final answer
    x = 3,085.49

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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.