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Finding the Fourth Proportional to 1,700.64, 2,347.08 and 1,002

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Solution

The fourth proportional to 1,700.64, 2,347.08 and 1,002 is: 1,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.64 : 2,347.08 = 1,002 : x
  2. Step 2: Convert to fraction form
    1,700.64/2,347.08 = 1,002/x
  3. Step 3: Cross multiply
    1,700.64x = 2,347.08 × 1,002
  4. Step 4: Simplify right side
    1,700.64x = 2,351,774.16
  5. Step 5: Solve for x
    x = 2,351,774.16/1,700.64
  6. Step 6: Final answer
    x = 1,382.88

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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.