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Finding the Fourth Proportional to 1,881.76, 2,811.16 and 1,497.44

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Solution

The fourth proportional to 1,881.76, 2,811.16 and 1,497.44 is: 2,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.76 : 2,811.16 = 1,497.44 : x
  2. Step 2: Convert to fraction form
    1,881.76/2,811.16 = 1,497.44/x
  3. Step 3: Cross multiply
    1,881.76x = 2,811.16 × 1,497.44
  4. Step 4: Simplify right side
    1,881.76x = 4,209,543.43
  5. Step 5: Solve for x
    x = 4,209,543.43/1,881.76
  6. Step 6: Final answer
    x = 2,237.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.