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Finding the Fourth Proportional to 1,878.72, 2,590.16 and 1,435.84

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Solution

The fourth proportional to 1,878.72, 2,590.16 and 1,435.84 is: 1,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.72 : 2,590.16 = 1,435.84 : x
  2. Step 2: Convert to fraction form
    1,878.72/2,590.16 = 1,435.84/x
  3. Step 3: Cross multiply
    1,878.72x = 2,590.16 × 1,435.84
  4. Step 4: Simplify right side
    1,878.72x = 3,719,055.33
  5. Step 5: Solve for x
    x = 3,719,055.33/1,878.72
  6. Step 6: Final answer
    x = 1,979.57

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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.