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Finding the Fourth Proportional to 2,525.64, 3,498.90 and 2,465.16

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Solution

The fourth proportional to 2,525.64, 3,498.90 and 2,465.16 is: 3,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.64 : 3,498.90 = 2,465.16 : x
  2. Step 2: Convert to fraction form
    2,525.64/3,498.90 = 2,465.16/x
  3. Step 3: Cross multiply
    2,525.64x = 3,498.90 × 2,465.16
  4. Step 4: Simplify right side
    2,525.64x = 8,625,348.32
  5. Step 5: Solve for x
    x = 8,625,348.32/2,525.64
  6. Step 6: Final answer
    x = 3,415.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.