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Finding the Fourth Proportional to 2,303.90, 3,177.65 and 1,463.88

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Solution

The fourth proportional to 2,303.90, 3,177.65 and 1,463.88 is: 2,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.90 : 3,177.65 = 1,463.88 : x
  2. Step 2: Convert to fraction form
    2,303.90/3,177.65 = 1,463.88/x
  3. Step 3: Cross multiply
    2,303.90x = 3,177.65 × 1,463.88
  4. Step 4: Simplify right side
    2,303.90x = 4,651,690.96
  5. Step 5: Solve for x
    x = 4,651,690.96/2,303.90
  6. Step 6: Final answer
    x = 2,019.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.