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Finding the Fourth Proportional to 1,680.42, 2,319 and 1,017.15

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Solution

The fourth proportional to 1,680.42, 2,319 and 1,017.15 is: 1,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.42 : 2,319 = 1,017.15 : x
  2. Step 2: Convert to fraction form
    1,680.42/2,319 = 1,017.15/x
  3. Step 3: Cross multiply
    1,680.42x = 2,319 × 1,017.15
  4. Step 4: Simplify right side
    1,680.42x = 2,358,770.85
  5. Step 5: Solve for x
    x = 2,358,770.85/1,680.42
  6. Step 6: Final answer
    x = 1,403.68

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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.