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Finding the Fourth Proportional to 3,098.30, 4,647.92 and 907.11

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Solution

The fourth proportional to 3,098.30, 4,647.92 and 907.11 is: 1,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.30 : 4,647.92 = 907.11 : x
  2. Step 2: Convert to fraction form
    3,098.30/4,647.92 = 907.11/x
  3. Step 3: Cross multiply
    3,098.30x = 4,647.92 × 907.11
  4. Step 4: Simplify right side
    3,098.30x = 4,216,170.18
  5. Step 5: Solve for x
    x = 4,216,170.18/3,098.30
  6. Step 6: Final answer
    x = 1,360.80

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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.