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Finding the Fourth Proportional to 3,059.66, 4,590.04 and 980.12

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Solution

The fourth proportional to 3,059.66, 4,590.04 and 980.12 is: 1,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.66 : 4,590.04 = 980.12 : x
  2. Step 2: Convert to fraction form
    3,059.66/4,590.04 = 980.12/x
  3. Step 3: Cross multiply
    3,059.66x = 4,590.04 × 980.12
  4. Step 4: Simplify right side
    3,059.66x = 4,498,790.00
  5. Step 5: Solve for x
    x = 4,498,790.00/3,059.66
  6. Step 6: Final answer
    x = 1,470.36

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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.