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Finding the Fourth Proportional to 2,425.19, 3,348.74 and 1,977.13

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Solution

The fourth proportional to 2,425.19, 3,348.74 and 1,977.13 is: 2,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.19 : 3,348.74 = 1,977.13 : x
  2. Step 2: Convert to fraction form
    2,425.19/3,348.74 = 1,977.13/x
  3. Step 3: Cross multiply
    2,425.19x = 3,348.74 × 1,977.13
  4. Step 4: Simplify right side
    2,425.19x = 6,620,894.32
  5. Step 5: Solve for x
    x = 6,620,894.32/2,425.19
  6. Step 6: Final answer
    x = 2,730.05

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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.