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Finding the Fourth Proportional to 1,528.42, 2,103.42 and 1,462.82

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Solution

The fourth proportional to 1,528.42, 2,103.42 and 1,462.82 is: 2,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.42 : 2,103.42 = 1,462.82 : x
  2. Step 2: Convert to fraction form
    1,528.42/2,103.42 = 1,462.82/x
  3. Step 3: Cross multiply
    1,528.42x = 2,103.42 × 1,462.82
  4. Step 4: Simplify right side
    1,528.42x = 3,076,924.84
  5. Step 5: Solve for x
    x = 3,076,924.84/1,528.42
  6. Step 6: Final answer
    x = 2,013.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.