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Finding the Fourth Proportional to 2,881.96, 4,314.63 and 1,492

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Solution

The fourth proportional to 2,881.96, 4,314.63 and 1,492 is: 2,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.96 : 4,314.63 = 1,492 : x
  2. Step 2: Convert to fraction form
    2,881.96/4,314.63 = 1,492/x
  3. Step 3: Cross multiply
    2,881.96x = 4,314.63 × 1,492
  4. Step 4: Simplify right side
    2,881.96x = 6,437,427.96
  5. Step 5: Solve for x
    x = 6,437,427.96/2,881.96
  6. Step 6: Final answer
    x = 2,233.70

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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.