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Finding the Fourth Proportional to 2,410.77, 3,613.70 and 1,368.57

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Solution

The fourth proportional to 2,410.77, 3,613.70 and 1,368.57 is: 2,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.77 : 3,613.70 = 1,368.57 : x
  2. Step 2: Convert to fraction form
    2,410.77/3,613.70 = 1,368.57/x
  3. Step 3: Cross multiply
    2,410.77x = 3,613.70 × 1,368.57
  4. Step 4: Simplify right side
    2,410.77x = 4,945,601.41
  5. Step 5: Solve for x
    x = 4,945,601.41/2,410.77
  6. Step 6: Final answer
    x = 2,051.46

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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.