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Finding the Fourth Proportional to 1,888.32, 2,834.40 and 1,460.16

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Solution

The fourth proportional to 1,888.32, 2,834.40 and 1,460.16 is: 2,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.32 : 2,834.40 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    1,888.32/2,834.40 = 1,460.16/x
  3. Step 3: Cross multiply
    1,888.32x = 2,834.40 × 1,460.16
  4. Step 4: Simplify right side
    1,888.32x = 4,138,677.50
  5. Step 5: Solve for x
    x = 4,138,677.50/1,888.32
  6. Step 6: Final answer
    x = 2,191.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.