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Finding the Fourth Proportional to 1,497.61, 2,243.58 and 848.80

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Solution

The fourth proportional to 1,497.61, 2,243.58 and 848.80 is: 1,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.61 : 2,243.58 = 848.80 : x
  2. Step 2: Convert to fraction form
    1,497.61/2,243.58 = 848.80/x
  3. Step 3: Cross multiply
    1,497.61x = 2,243.58 × 848.80
  4. Step 4: Simplify right side
    1,497.61x = 1,904,350.70
  5. Step 5: Solve for x
    x = 1,904,350.70/1,497.61
  6. Step 6: Final answer
    x = 1,271.59

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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.