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Finding the Fourth Proportional to 2,417.87, 3,338.54 and 1,857.45

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Solution

The fourth proportional to 2,417.87, 3,338.54 and 1,857.45 is: 2,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.87 : 3,338.54 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    2,417.87/3,338.54 = 1,857.45/x
  3. Step 3: Cross multiply
    2,417.87x = 3,338.54 × 1,857.45
  4. Step 4: Simplify right side
    2,417.87x = 6,201,161.84
  5. Step 5: Solve for x
    x = 6,201,161.84/2,417.87
  6. Step 6: Final answer
    x = 2,564.73

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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.