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Finding the Fourth Proportional to 1,574.40, 2,362.02 and 1,548.30

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Solution

The fourth proportional to 1,574.40, 2,362.02 and 1,548.30 is: 2,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.40 : 2,362.02 = 1,548.30 : x
  2. Step 2: Convert to fraction form
    1,574.40/2,362.02 = 1,548.30/x
  3. Step 3: Cross multiply
    1,574.40x = 2,362.02 × 1,548.30
  4. Step 4: Simplify right side
    1,574.40x = 3,657,115.57
  5. Step 5: Solve for x
    x = 3,657,115.57/1,574.40
  6. Step 6: Final answer
    x = 2,322.86

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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.