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Finding the Fourth Proportional to 2,417.68, 3,335.21 and 1,577.99

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Solution

The fourth proportional to 2,417.68, 3,335.21 and 1,577.99 is: 2,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.68 : 3,335.21 = 1,577.99 : x
  2. Step 2: Convert to fraction form
    2,417.68/3,335.21 = 1,577.99/x
  3. Step 3: Cross multiply
    2,417.68x = 3,335.21 × 1,577.99
  4. Step 4: Simplify right side
    2,417.68x = 5,262,928.48
  5. Step 5: Solve for x
    x = 5,262,928.48/2,417.68
  6. Step 6: Final answer
    x = 2,176.85

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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.