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Finding the Fourth Proportional to 1,540.90, 2,308.23 and 718.03

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Solution

The fourth proportional to 1,540.90, 2,308.23 and 718.03 is: 1,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.90 : 2,308.23 = 718.03 : x
  2. Step 2: Convert to fraction form
    1,540.90/2,308.23 = 718.03/x
  3. Step 3: Cross multiply
    1,540.90x = 2,308.23 × 718.03
  4. Step 4: Simplify right side
    1,540.90x = 1,657,378.39
  5. Step 5: Solve for x
    x = 1,657,378.39/1,540.90
  6. Step 6: Final answer
    x = 1,075.59

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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.