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Finding the Fourth Proportional to 1,531.51, 2,111.03 and 1,033.99

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Solution

The fourth proportional to 1,531.51, 2,111.03 and 1,033.99 is: 1,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.51 : 2,111.03 = 1,033.99 : x
  2. Step 2: Convert to fraction form
    1,531.51/2,111.03 = 1,033.99/x
  3. Step 3: Cross multiply
    1,531.51x = 2,111.03 × 1,033.99
  4. Step 4: Simplify right side
    1,531.51x = 2,182,778.74
  5. Step 5: Solve for x
    x = 2,182,778.74/1,531.51
  6. Step 6: Final answer
    x = 1,425.25

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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.