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Finding the Fourth Proportional to 2,036.18, 2,811.04 and 1,534.86

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Solution

The fourth proportional to 2,036.18, 2,811.04 and 1,534.86 is: 2,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.18 : 2,811.04 = 1,534.86 : x
  2. Step 2: Convert to fraction form
    2,036.18/2,811.04 = 1,534.86/x
  3. Step 3: Cross multiply
    2,036.18x = 2,811.04 × 1,534.86
  4. Step 4: Simplify right side
    2,036.18x = 4,314,552.85
  5. Step 5: Solve for x
    x = 4,314,552.85/2,036.18
  6. Step 6: Final answer
    x = 2,118.94

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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.