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Finding the Fourth Proportional to 2,549.88, 3,518.64 and 1,430.73

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Solution

The fourth proportional to 2,549.88, 3,518.64 and 1,430.73 is: 1,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.88 : 3,518.64 = 1,430.73 : x
  2. Step 2: Convert to fraction form
    2,549.88/3,518.64 = 1,430.73/x
  3. Step 3: Cross multiply
    2,549.88x = 3,518.64 × 1,430.73
  4. Step 4: Simplify right side
    2,549.88x = 5,034,223.81
  5. Step 5: Solve for x
    x = 5,034,223.81/2,549.88
  6. Step 6: Final answer
    x = 1,974.30

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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.