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Finding the Fourth Proportional to 1,870.83, 2,806.40 and 484.15

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Solution

The fourth proportional to 1,870.83, 2,806.40 and 484.15 is: 726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.83 : 2,806.40 = 484.15 : x
  2. Step 2: Convert to fraction form
    1,870.83/2,806.40 = 484.15/x
  3. Step 3: Cross multiply
    1,870.83x = 2,806.40 × 484.15
  4. Step 4: Simplify right side
    1,870.83x = 1,358,718.56
  5. Step 5: Solve for x
    x = 1,358,718.56/1,870.83
  6. Step 6: Final answer
    x = 726.27

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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.