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Finding the Fourth Proportional to 1,773.91, 2,448.01 and 977.24

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Solution

The fourth proportional to 1,773.91, 2,448.01 and 977.24 is: 1,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.91 : 2,448.01 = 977.24 : x
  2. Step 2: Convert to fraction form
    1,773.91/2,448.01 = 977.24/x
  3. Step 3: Cross multiply
    1,773.91x = 2,448.01 × 977.24
  4. Step 4: Simplify right side
    1,773.91x = 2,392,288.41
  5. Step 5: Solve for x
    x = 2,392,288.41/1,773.91
  6. Step 6: Final answer
    x = 1,348.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.