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Finding the Fourth Proportional to 2,425.95, 3,640.30 and 1,315.40

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Solution

The fourth proportional to 2,425.95, 3,640.30 and 1,315.40 is: 1,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.95 : 3,640.30 = 1,315.40 : x
  2. Step 2: Convert to fraction form
    2,425.95/3,640.30 = 1,315.40/x
  3. Step 3: Cross multiply
    2,425.95x = 3,640.30 × 1,315.40
  4. Step 4: Simplify right side
    2,425.95x = 4,788,429.13
  5. Step 5: Solve for x
    x = 4,788,429.13/2,425.95
  6. Step 6: Final answer
    x = 1,973.84

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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.