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Finding the Fourth Proportional to 2,549.56, 3,518.18 and 1,430.34

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Solution

The fourth proportional to 2,549.56, 3,518.18 and 1,430.34 is: 1,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.56 : 3,518.18 = 1,430.34 : x
  2. Step 2: Convert to fraction form
    2,549.56/3,518.18 = 1,430.34/x
  3. Step 3: Cross multiply
    2,549.56x = 3,518.18 × 1,430.34
  4. Step 4: Simplify right side
    2,549.56x = 5,032,197.16
  5. Step 5: Solve for x
    x = 5,032,197.16/2,549.56
  6. Step 6: Final answer
    x = 1,973.75

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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.