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Finding the Fourth Proportional to 2,036.88, 2,810.94 and 1,152.78

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Solution

The fourth proportional to 2,036.88, 2,810.94 and 1,152.78 is: 1,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.88 : 2,810.94 = 1,152.78 : x
  2. Step 2: Convert to fraction form
    2,036.88/2,810.94 = 1,152.78/x
  3. Step 3: Cross multiply
    2,036.88x = 2,810.94 × 1,152.78
  4. Step 4: Simplify right side
    2,036.88x = 3,240,395.41
  5. Step 5: Solve for x
    x = 3,240,395.41/2,036.88
  6. Step 6: Final answer
    x = 1,590.86

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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.