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Finding the Fourth Proportional to 1,675.39, 2,311.64 and 1,152.13

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Solution

The fourth proportional to 1,675.39, 2,311.64 and 1,152.13 is: 1,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.39 : 2,311.64 = 1,152.13 : x
  2. Step 2: Convert to fraction form
    1,675.39/2,311.64 = 1,152.13/x
  3. Step 3: Cross multiply
    1,675.39x = 2,311.64 × 1,152.13
  4. Step 4: Simplify right side
    1,675.39x = 2,663,298.24
  5. Step 5: Solve for x
    x = 2,663,298.24/1,675.39
  6. Step 6: Final answer
    x = 1,589.66

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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.