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Finding the Fourth Proportional to 1,548.16, 2,322.54 and 574.34

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Solution

The fourth proportional to 1,548.16, 2,322.54 and 574.34 is: 861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.16 : 2,322.54 = 574.34 : x
  2. Step 2: Convert to fraction form
    1,548.16/2,322.54 = 574.34/x
  3. Step 3: Cross multiply
    1,548.16x = 2,322.54 × 574.34
  4. Step 4: Simplify right side
    1,548.16x = 1,333,916.01
  5. Step 5: Solve for x
    x = 1,333,916.01/1,548.16
  6. Step 6: Final answer
    x = 861.62

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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.