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Finding the Fourth Proportional to 1,531.58, 2,295.76 and 750.51

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Solution

The fourth proportional to 1,531.58, 2,295.76 and 750.51 is: 1,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.58 : 2,295.76 = 750.51 : x
  2. Step 2: Convert to fraction form
    1,531.58/2,295.76 = 750.51/x
  3. Step 3: Cross multiply
    1,531.58x = 2,295.76 × 750.51
  4. Step 4: Simplify right side
    1,531.58x = 1,722,990.84
  5. Step 5: Solve for x
    x = 1,722,990.84/1,531.58
  6. Step 6: Final answer
    x = 1,124.98

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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.