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Finding the Fourth Proportional to 1,418.72, 2,128.01 and 870.08

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Solution

The fourth proportional to 1,418.72, 2,128.01 and 870.08 is: 1,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.72 : 2,128.01 = 870.08 : x
  2. Step 2: Convert to fraction form
    1,418.72/2,128.01 = 870.08/x
  3. Step 3: Cross multiply
    1,418.72x = 2,128.01 × 870.08
  4. Step 4: Simplify right side
    1,418.72x = 1,851,523.95
  5. Step 5: Solve for x
    x = 1,851,523.95/1,418.72
  6. Step 6: Final answer
    x = 1,305.07

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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.