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Finding the Fourth Proportional to 2,980.60, 4,463.84 and 1,590.48

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Solution

The fourth proportional to 2,980.60, 4,463.84 and 1,590.48 is: 2,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.60 : 4,463.84 = 1,590.48 : x
  2. Step 2: Convert to fraction form
    2,980.60/4,463.84 = 1,590.48/x
  3. Step 3: Cross multiply
    2,980.60x = 4,463.84 × 1,590.48
  4. Step 4: Simplify right side
    2,980.60x = 7,099,648.24
  5. Step 5: Solve for x
    x = 7,099,648.24/2,980.60
  6. Step 6: Final answer
    x = 2,381.95

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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.