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Finding the Fourth Proportional to 2,465.48, 3,401.64 and 1,417.52

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Solution

The fourth proportional to 2,465.48, 3,401.64 and 1,417.52 is: 1,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.48 : 3,401.64 = 1,417.52 : x
  2. Step 2: Convert to fraction form
    2,465.48/3,401.64 = 1,417.52/x
  3. Step 3: Cross multiply
    2,465.48x = 3,401.64 × 1,417.52
  4. Step 4: Simplify right side
    2,465.48x = 4,821,892.73
  5. Step 5: Solve for x
    x = 4,821,892.73/2,465.48
  6. Step 6: Final answer
    x = 1,955.76

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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.