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Finding the Fourth Proportional to 1,876.40, 2,589.36 and 1,526.48

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Solution

The fourth proportional to 1,876.40, 2,589.36 and 1,526.48 is: 2,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.40 : 2,589.36 = 1,526.48 : x
  2. Step 2: Convert to fraction form
    1,876.40/2,589.36 = 1,526.48/x
  3. Step 3: Cross multiply
    1,876.40x = 2,589.36 × 1,526.48
  4. Step 4: Simplify right side
    1,876.40x = 3,952,606.25
  5. Step 5: Solve for x
    x = 3,952,606.25/1,876.40
  6. Step 6: Final answer
    x = 2,106.48

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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.