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Finding the Fourth Proportional to 1,712.30, 2,569.95 and 891.14

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Solution

The fourth proportional to 1,712.30, 2,569.95 and 891.14 is: 1,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.30 : 2,569.95 = 891.14 : x
  2. Step 2: Convert to fraction form
    1,712.30/2,569.95 = 891.14/x
  3. Step 3: Cross multiply
    1,712.30x = 2,569.95 × 891.14
  4. Step 4: Simplify right side
    1,712.30x = 2,290,172.39
  5. Step 5: Solve for x
    x = 2,290,172.39/1,712.30
  6. Step 6: Final answer
    x = 1,337.49

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1.5x scale

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.