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Finding the Fourth Proportional to 1,461.79, 2,191.93 and 537.11

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Solution

The fourth proportional to 1,461.79, 2,191.93 and 537.11 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.79 : 2,191.93 = 537.11 : x
  2. Step 2: Convert to fraction form
    1,461.79/2,191.93 = 537.11/x
  3. Step 3: Cross multiply
    1,461.79x = 2,191.93 × 537.11
  4. Step 4: Simplify right side
    1,461.79x = 1,177,307.52
  5. Step 5: Solve for x
    x = 1,177,307.52/1,461.79
  6. Step 6: Final answer
    x = 805.39

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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.