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Finding the Fourth Proportional to 2,153.52, 3,230.28 and 1,422.93

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Solution

The fourth proportional to 2,153.52, 3,230.28 and 1,422.93 is: 2,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.52 : 3,230.28 = 1,422.93 : x
  2. Step 2: Convert to fraction form
    2,153.52/3,230.28 = 1,422.93/x
  3. Step 3: Cross multiply
    2,153.52x = 3,230.28 × 1,422.93
  4. Step 4: Simplify right side
    2,153.52x = 4,596,462.32
  5. Step 5: Solve for x
    x = 4,596,462.32/2,153.52
  6. Step 6: Final answer
    x = 2,134.40

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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.