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Finding the Fourth Proportional to 2,549.54, 3,518.35 and 1,430.47

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Solution

The fourth proportional to 2,549.54, 3,518.35 and 1,430.47 is: 1,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.54 : 3,518.35 = 1,430.47 : x
  2. Step 2: Convert to fraction form
    2,549.54/3,518.35 = 1,430.47/x
  3. Step 3: Cross multiply
    2,549.54x = 3,518.35 × 1,430.47
  4. Step 4: Simplify right side
    2,549.54x = 5,032,897.38
  5. Step 5: Solve for x
    x = 5,032,897.38/2,549.54
  6. Step 6: Final answer
    x = 1,974.04

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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.