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Finding the Fourth Proportional to 2,036.85, 2,810.98 and 1,152.74

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Solution

The fourth proportional to 2,036.85, 2,810.98 and 1,152.74 is: 1,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.85 : 2,810.98 = 1,152.74 : x
  2. Step 2: Convert to fraction form
    2,036.85/2,810.98 = 1,152.74/x
  3. Step 3: Cross multiply
    2,036.85x = 2,810.98 × 1,152.74
  4. Step 4: Simplify right side
    2,036.85x = 3,240,329.09
  5. Step 5: Solve for x
    x = 3,240,329.09/2,036.85
  6. Step 6: Final answer
    x = 1,590.85

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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.