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Finding the Fourth Proportional to 3,281.34, 4,922.02 and 972.84

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Solution

The fourth proportional to 3,281.34, 4,922.02 and 972.84 is: 1,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.34 : 4,922.02 = 972.84 : x
  2. Step 2: Convert to fraction form
    3,281.34/4,922.02 = 972.84/x
  3. Step 3: Cross multiply
    3,281.34x = 4,922.02 × 972.84
  4. Step 4: Simplify right side
    3,281.34x = 4,788,352.14
  5. Step 5: Solve for x
    x = 4,788,352.14/3,281.34
  6. Step 6: Final answer
    x = 1,459.27

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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.