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Finding the Fourth Proportional to 1,538.40, 2,303.28 and 959.52

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Solution

The fourth proportional to 1,538.40, 2,303.28 and 959.52 is: 1,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,303.28 = 959.52 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,303.28 = 959.52/x
  3. Step 3: Cross multiply
    1,538.40x = 2,303.28 × 959.52
  4. Step 4: Simplify right side
    1,538.40x = 2,210,043.23
  5. Step 5: Solve for x
    x = 2,210,043.23/1,538.40
  6. Step 6: Final answer
    x = 1,436.59

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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.