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Finding the Fourth Proportional to 2,303.66, 3,177.90 and 1,463.00

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Solution

The fourth proportional to 2,303.66, 3,177.90 and 1,463.00 is: 2,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.66 : 3,177.90 = 1,463.00 : x
  2. Step 2: Convert to fraction form
    2,303.66/3,177.90 = 1,463.00/x
  3. Step 3: Cross multiply
    2,303.66x = 3,177.90 × 1,463.00
  4. Step 4: Simplify right side
    2,303.66x = 4,649,251.81
  5. Step 5: Solve for x
    x = 4,649,251.81/2,303.66
  6. Step 6: Final answer
    x = 2,018.20

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Why These Related Problems?

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