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Finding the Fourth Proportional to 3,060.62, 4,590.93 and 980.64

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Solution

The fourth proportional to 3,060.62, 4,590.93 and 980.64 is: 1,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.62 : 4,590.93 = 980.64 : x
  2. Step 2: Convert to fraction form
    3,060.62/4,590.93 = 980.64/x
  3. Step 3: Cross multiply
    3,060.62x = 4,590.93 × 980.64
  4. Step 4: Simplify right side
    3,060.62x = 4,502,047.76
  5. Step 5: Solve for x
    x = 4,502,047.76/3,060.62
  6. Step 6: Final answer
    x = 1,470.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.