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Finding the Fourth Proportional to 1,461.95, 2,017.20 and 872.67

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Solution

The fourth proportional to 1,461.95, 2,017.20 and 872.67 is: 1,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.95 : 2,017.20 = 872.67 : x
  2. Step 2: Convert to fraction form
    1,461.95/2,017.20 = 872.67/x
  3. Step 3: Cross multiply
    1,461.95x = 2,017.20 × 872.67
  4. Step 4: Simplify right side
    1,461.95x = 1,760,360.76
  5. Step 5: Solve for x
    x = 1,760,360.76/1,461.95
  6. Step 6: Final answer
    x = 1,204.12

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1.5x scale

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.