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Finding the Fourth Proportional to 2,386.94, 3,575.77 and 1,343.76

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Solution

The fourth proportional to 2,386.94, 3,575.77 and 1,343.76 is: 2,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.94 : 3,575.77 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    2,386.94/3,575.77 = 1,343.76/x
  3. Step 3: Cross multiply
    2,386.94x = 3,575.77 × 1,343.76
  4. Step 4: Simplify right side
    2,386.94x = 4,804,976.70
  5. Step 5: Solve for x
    x = 4,804,976.70/2,386.94
  6. Step 6: Final answer
    x = 2,013.03

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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.