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Finding the Fourth Proportional to 2,465.98, 3,695.32 and 1,641.26

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Solution

The fourth proportional to 2,465.98, 3,695.32 and 1,641.26 is: 2,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.98 : 3,695.32 = 1,641.26 : x
  2. Step 2: Convert to fraction form
    2,465.98/3,695.32 = 1,641.26/x
  3. Step 3: Cross multiply
    2,465.98x = 3,695.32 × 1,641.26
  4. Step 4: Simplify right side
    2,465.98x = 6,064,992.19
  5. Step 5: Solve for x
    x = 6,064,992.19/2,465.98
  6. Step 6: Final answer
    x = 2,459.47

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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.