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Finding the Fourth Proportional to 2,549.74, 3,518.64 and 1,488.24

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Solution

The fourth proportional to 2,549.74, 3,518.64 and 1,488.24 is: 2,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.74 : 3,518.64 = 1,488.24 : x
  2. Step 2: Convert to fraction form
    2,549.74/3,518.64 = 1,488.24/x
  3. Step 3: Cross multiply
    2,549.74x = 3,518.64 × 1,488.24
  4. Step 4: Simplify right side
    2,549.74x = 5,236,580.79
  5. Step 5: Solve for x
    x = 5,236,580.79/2,549.74
  6. Step 6: Final answer
    x = 2,053.77

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