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Finding the Fourth Proportional to 2,461.39, 3,693.47 and 1,307.11

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Solution

The fourth proportional to 2,461.39, 3,693.47 and 1,307.11 is: 1,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.39 : 3,693.47 = 1,307.11 : x
  2. Step 2: Convert to fraction form
    2,461.39/3,693.47 = 1,307.11/x
  3. Step 3: Cross multiply
    2,461.39x = 3,693.47 × 1,307.11
  4. Step 4: Simplify right side
    2,461.39x = 4,827,765.04
  5. Step 5: Solve for x
    x = 4,827,765.04/2,461.39
  6. Step 6: Final answer
    x = 1,961.40

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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.