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Finding the Fourth Proportional to 1,700.98, 2,348.49 and 1,002.58

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Solution

The fourth proportional to 1,700.98, 2,348.49 and 1,002.58 is: 1,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.98 : 2,348.49 = 1,002.58 : x
  2. Step 2: Convert to fraction form
    1,700.98/2,348.49 = 1,002.58/x
  3. Step 3: Cross multiply
    1,700.98x = 2,348.49 × 1,002.58
  4. Step 4: Simplify right side
    1,700.98x = 2,354,549.10
  5. Step 5: Solve for x
    x = 2,354,549.10/1,700.98
  6. Step 6: Final answer
    x = 1,384.23

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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.