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Finding the Fourth Proportional to 1,532.70, 2,300.54 and 1,449.45

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Solution

The fourth proportional to 1,532.70, 2,300.54 and 1,449.45 is: 2,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.70 : 2,300.54 = 1,449.45 : x
  2. Step 2: Convert to fraction form
    1,532.70/2,300.54 = 1,449.45/x
  3. Step 3: Cross multiply
    1,532.70x = 2,300.54 × 1,449.45
  4. Step 4: Simplify right side
    1,532.70x = 3,334,510.46
  5. Step 5: Solve for x
    x = 3,334,510.46/1,532.70
  6. Step 6: Final answer
    x = 2,175.58

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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.