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Finding the Fourth Proportional to 1,275.84, 1,925.24 and 1,230.08

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Solution

The fourth proportional to 1,275.84, 1,925.24 and 1,230.08 is: 1,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.84 : 1,925.24 = 1,230.08 : x
  2. Step 2: Convert to fraction form
    1,275.84/1,925.24 = 1,230.08/x
  3. Step 3: Cross multiply
    1,275.84x = 1,925.24 × 1,230.08
  4. Step 4: Simplify right side
    1,275.84x = 2,368,183.44
  5. Step 5: Solve for x
    x = 2,368,183.44/1,275.84
  6. Step 6: Final answer
    x = 1,856.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.