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Finding the Fourth Proportional to 2,477.70, 3,712.53 and 1,307.64

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Solution

The fourth proportional to 2,477.70, 3,712.53 and 1,307.64 is: 1,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.70 : 3,712.53 = 1,307.64 : x
  2. Step 2: Convert to fraction form
    2,477.70/3,712.53 = 1,307.64/x
  3. Step 3: Cross multiply
    2,477.70x = 3,712.53 × 1,307.64
  4. Step 4: Simplify right side
    2,477.70x = 4,854,652.73
  5. Step 5: Solve for x
    x = 4,854,652.73/2,477.70
  6. Step 6: Final answer
    x = 1,959.34

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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.