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Finding the Fourth Proportional to 2,304.95, 3,180.47 and 1,310.00

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Solution

The fourth proportional to 2,304.95, 3,180.47 and 1,310.00 is: 1,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.95 : 3,180.47 = 1,310.00 : x
  2. Step 2: Convert to fraction form
    2,304.95/3,180.47 = 1,310.00/x
  3. Step 3: Cross multiply
    2,304.95x = 3,180.47 × 1,310.00
  4. Step 4: Simplify right side
    2,304.95x = 4,166,393.25
  5. Step 5: Solve for x
    x = 4,166,393.25/2,304.95
  6. Step 6: Final answer
    x = 1,807.59

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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.