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Finding the Fourth Proportional to 2,980, 4,470 and 1,248.63

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Solution

The fourth proportional to 2,980, 4,470 and 1,248.63 is: 1,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 4,470 = 1,248.63 : x
  2. Step 2: Convert to fraction form
    2,980/4,470 = 1,248.63/x
  3. Step 3: Cross multiply
    2,980x = 4,470 × 1,248.63
  4. Step 4: Simplify right side
    2,980x = 5,581,376.10
  5. Step 5: Solve for x
    x = 5,581,376.10/2,980
  6. Step 6: Final answer
    x = 1,872.95

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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.