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Finding the Fourth Proportional to 2,024.98, 2,797.06 and 1,550

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Solution

The fourth proportional to 2,024.98, 2,797.06 and 1,550 is: 2,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.98 : 2,797.06 = 1,550 : x
  2. Step 2: Convert to fraction form
    2,024.98/2,797.06 = 1,550/x
  3. Step 3: Cross multiply
    2,024.98x = 2,797.06 × 1,550
  4. Step 4: Simplify right side
    2,024.98x = 4,335,443
  5. Step 5: Solve for x
    x = 4,335,443/2,024.98
  6. Step 6: Final answer
    x = 2,140.98

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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.