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Finding the Fourth Proportional to 1,701.08, 2,347.74 and 1,002.68

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Solution

The fourth proportional to 1,701.08, 2,347.74 and 1,002.68 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.08 : 2,347.74 = 1,002.68 : x
  2. Step 2: Convert to fraction form
    1,701.08/2,347.74 = 1,002.68/x
  3. Step 3: Cross multiply
    1,701.08x = 2,347.74 × 1,002.68
  4. Step 4: Simplify right side
    1,701.08x = 2,354,031.94
  5. Step 5: Solve for x
    x = 2,354,031.94/1,701.08
  6. Step 6: Final answer
    x = 1,383.85

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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.