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Finding the Fourth Proportional to 2,878.27, 4,318.71 and 1,710.58

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Solution

The fourth proportional to 2,878.27, 4,318.71 and 1,710.58 is: 2,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.27 : 4,318.71 = 1,710.58 : x
  2. Step 2: Convert to fraction form
    2,878.27/4,318.71 = 1,710.58/x
  3. Step 3: Cross multiply
    2,878.27x = 4,318.71 × 1,710.58
  4. Step 4: Simplify right side
    2,878.27x = 7,387,477.36
  5. Step 5: Solve for x
    x = 7,387,477.36/2,878.27
  6. Step 6: Final answer
    x = 2,566.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.