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Finding the Fourth Proportional to 2,011.48, 3,018.08 and 1,134.64

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Solution

The fourth proportional to 2,011.48, 3,018.08 and 1,134.64 is: 1,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.48 : 3,018.08 = 1,134.64 : x
  2. Step 2: Convert to fraction form
    2,011.48/3,018.08 = 1,134.64/x
  3. Step 3: Cross multiply
    2,011.48x = 3,018.08 × 1,134.64
  4. Step 4: Simplify right side
    2,011.48x = 3,424,434.29
  5. Step 5: Solve for x
    x = 3,424,434.29/2,011.48
  6. Step 6: Final answer
    x = 1,702.45

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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.