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Finding the Fourth Proportional to 1,461.53, 2,017.16 and 872.39

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Solution

The fourth proportional to 1,461.53, 2,017.16 and 872.39 is: 1,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.53 : 2,017.16 = 872.39 : x
  2. Step 2: Convert to fraction form
    1,461.53/2,017.16 = 872.39/x
  3. Step 3: Cross multiply
    1,461.53x = 2,017.16 × 872.39
  4. Step 4: Simplify right side
    1,461.53x = 1,759,735.76
  5. Step 5: Solve for x
    x = 1,759,735.76/1,461.53
  6. Step 6: Final answer
    x = 1,204.04

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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.