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Finding the Fourth Proportional to 2,465.93, 3,403.29 and 1,403.96

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Solution

The fourth proportional to 2,465.93, 3,403.29 and 1,403.96 is: 1,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.93 : 3,403.29 = 1,403.96 : x
  2. Step 2: Convert to fraction form
    2,465.93/3,403.29 = 1,403.96/x
  3. Step 3: Cross multiply
    2,465.93x = 3,403.29 × 1,403.96
  4. Step 4: Simplify right side
    2,465.93x = 4,778,058.99
  5. Step 5: Solve for x
    x = 4,778,058.99/2,465.93
  6. Step 6: Final answer
    x = 1,937.63

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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.