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Finding the Fourth Proportional to 2,878.01, 4,317.03 and 1,578.77

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Solution

The fourth proportional to 2,878.01, 4,317.03 and 1,578.77 is: 2,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.01 : 4,317.03 = 1,578.77 : x
  2. Step 2: Convert to fraction form
    2,878.01/4,317.03 = 1,578.77/x
  3. Step 3: Cross multiply
    2,878.01x = 4,317.03 × 1,578.77
  4. Step 4: Simplify right side
    2,878.01x = 6,815,597.45
  5. Step 5: Solve for x
    x = 6,815,597.45/2,878.01
  6. Step 6: Final answer
    x = 2,368.16

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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.