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Finding the Fourth Proportional to 2,078.45, 2,868.71 and 1,416.88

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Solution

The fourth proportional to 2,078.45, 2,868.71 and 1,416.88 is: 1,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.45 : 2,868.71 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,078.45/2,868.71 = 1,416.88/x
  3. Step 3: Cross multiply
    2,078.45x = 2,868.71 × 1,416.88
  4. Step 4: Simplify right side
    2,078.45x = 4,064,617.82
  5. Step 5: Solve for x
    x = 4,064,617.82/2,078.45
  6. Step 6: Final answer
    x = 1,955.60

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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.