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Finding the Fourth Proportional to 1,701.68, 2,346.90 and 1,421.24

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Solution

The fourth proportional to 1,701.68, 2,346.90 and 1,421.24 is: 1,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.68 : 2,346.90 = 1,421.24 : x
  2. Step 2: Convert to fraction form
    1,701.68/2,346.90 = 1,421.24/x
  3. Step 3: Cross multiply
    1,701.68x = 2,346.90 × 1,421.24
  4. Step 4: Simplify right side
    1,701.68x = 3,335,508.16
  5. Step 5: Solve for x
    x = 3,335,508.16/1,701.68
  6. Step 6: Final answer
    x = 1,960.13

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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.