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Finding the Fourth Proportional to 2,307.60, 3,461.40 and 664.15

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Solution

The fourth proportional to 2,307.60, 3,461.40 and 664.15 is: 996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.60 : 3,461.40 = 664.15 : x
  2. Step 2: Convert to fraction form
    2,307.60/3,461.40 = 664.15/x
  3. Step 3: Cross multiply
    2,307.60x = 3,461.40 × 664.15
  4. Step 4: Simplify right side
    2,307.60x = 2,298,888.81
  5. Step 5: Solve for x
    x = 2,298,888.81/2,307.60
  6. Step 6: Final answer
    x = 996.23

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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.