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Finding the Fourth Proportional to 1,848.24, 2,772.96 and 874.48

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Solution

The fourth proportional to 1,848.24, 2,772.96 and 874.48 is: 1,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.24 : 2,772.96 = 874.48 : x
  2. Step 2: Convert to fraction form
    1,848.24/2,772.96 = 874.48/x
  3. Step 3: Cross multiply
    1,848.24x = 2,772.96 × 874.48
  4. Step 4: Simplify right side
    1,848.24x = 2,424,898.06
  5. Step 5: Solve for x
    x = 2,424,898.06/1,848.24
  6. Step 6: Final answer
    x = 1,312.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.