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Finding the Fourth Proportional to 1,407.95, 1,941.91 and 1,248.61

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Solution

The fourth proportional to 1,407.95, 1,941.91 and 1,248.61 is: 1,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.95 : 1,941.91 = 1,248.61 : x
  2. Step 2: Convert to fraction form
    1,407.95/1,941.91 = 1,248.61/x
  3. Step 3: Cross multiply
    1,407.95x = 1,941.91 × 1,248.61
  4. Step 4: Simplify right side
    1,407.95x = 2,424,688.25
  5. Step 5: Solve for x
    x = 2,424,688.25/1,407.95
  6. Step 6: Final answer
    x = 1,722.14

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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.