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Finding the Fourth Proportional to 2,036.98, 2,813.02 and 1,740.52

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Solution

The fourth proportional to 2,036.98, 2,813.02 and 1,740.52 is: 2,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.98 : 2,813.02 = 1,740.52 : x
  2. Step 2: Convert to fraction form
    2,036.98/2,813.02 = 1,740.52/x
  3. Step 3: Cross multiply
    2,036.98x = 2,813.02 × 1,740.52
  4. Step 4: Simplify right side
    2,036.98x = 4,896,117.57
  5. Step 5: Solve for x
    x = 4,896,117.57/2,036.98
  6. Step 6: Final answer
    x = 2,403.62

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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.