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Finding the Fourth Proportional to 2,549.39, 3,517.95 and 1,430.07

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Solution

The fourth proportional to 2,549.39, 3,517.95 and 1,430.07 is: 1,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.39 : 3,517.95 = 1,430.07 : x
  2. Step 2: Convert to fraction form
    2,549.39/3,517.95 = 1,430.07/x
  3. Step 3: Cross multiply
    2,549.39x = 3,517.95 × 1,430.07
  4. Step 4: Simplify right side
    2,549.39x = 5,030,914.76
  5. Step 5: Solve for x
    x = 5,030,914.76/2,549.39
  6. Step 6: Final answer
    x = 1,973.38

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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.