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Finding the Fourth Proportional to 1,314.42, 1,965.96 and 1,248

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Solution

The fourth proportional to 1,314.42, 1,965.96 and 1,248 is: 1,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,965.96 = 1,248 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,965.96 = 1,248/x
  3. Step 3: Cross multiply
    1,314.42x = 1,965.96 × 1,248
  4. Step 4: Simplify right side
    1,314.42x = 2,453,518.08
  5. Step 5: Solve for x
    x = 2,453,518.08/1,314.42
  6. Step 6: Final answer
    x = 1,866.62

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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.