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Finding the Fourth Proportional to 1,384.88, 2,077.60 and 974.16

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Solution

The fourth proportional to 1,384.88, 2,077.60 and 974.16 is: 1,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.88 : 2,077.60 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,384.88/2,077.60 = 974.16/x
  3. Step 3: Cross multiply
    1,384.88x = 2,077.60 × 974.16
  4. Step 4: Simplify right side
    1,384.88x = 2,023,914.82
  5. Step 5: Solve for x
    x = 2,023,914.82/1,384.88
  6. Step 6: Final answer
    x = 1,461.44

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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.