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Finding the Fourth Proportional to 2,385.05, 3,577.60 and 653.68

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Solution

The fourth proportional to 2,385.05, 3,577.60 and 653.68 is: 980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.05 : 3,577.60 = 653.68 : x
  2. Step 2: Convert to fraction form
    2,385.05/3,577.60 = 653.68/x
  3. Step 3: Cross multiply
    2,385.05x = 3,577.60 × 653.68
  4. Step 4: Simplify right side
    2,385.05x = 2,338,587.68
  5. Step 5: Solve for x
    x = 2,338,587.68/2,385.05
  6. Step 6: Final answer
    x = 980.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.