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Finding the Fourth Proportional to 1,945.16, 2,915.22 and 848.06

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Solution

The fourth proportional to 1,945.16, 2,915.22 and 848.06 is: 1,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.16 : 2,915.22 = 848.06 : x
  2. Step 2: Convert to fraction form
    1,945.16/2,915.22 = 848.06/x
  3. Step 3: Cross multiply
    1,945.16x = 2,915.22 × 848.06
  4. Step 4: Simplify right side
    1,945.16x = 2,472,281.47
  5. Step 5: Solve for x
    x = 2,472,281.47/1,945.16
  6. Step 6: Final answer
    x = 1,270.99

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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.