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Finding the Fourth Proportional to 1,885.34, 2,829.55 and 961.17

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Solution

The fourth proportional to 1,885.34, 2,829.55 and 961.17 is: 1,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.34 : 2,829.55 = 961.17 : x
  2. Step 2: Convert to fraction form
    1,885.34/2,829.55 = 961.17/x
  3. Step 3: Cross multiply
    1,885.34x = 2,829.55 × 961.17
  4. Step 4: Simplify right side
    1,885.34x = 2,719,669.16
  5. Step 5: Solve for x
    x = 2,719,669.16/1,885.34
  6. Step 6: Final answer
    x = 1,442.53

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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.