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Finding the Fourth Proportional to 2,465.88, 3,402.93 and 1,417.95

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Solution

The fourth proportional to 2,465.88, 3,402.93 and 1,417.95 is: 1,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.88 : 3,402.93 = 1,417.95 : x
  2. Step 2: Convert to fraction form
    2,465.88/3,402.93 = 1,417.95/x
  3. Step 3: Cross multiply
    2,465.88x = 3,402.93 × 1,417.95
  4. Step 4: Simplify right side
    2,465.88x = 4,825,160.49
  5. Step 5: Solve for x
    x = 4,825,160.49/2,465.88
  6. Step 6: Final answer
    x = 1,956.77

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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.