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Finding the Fourth Proportional to 2,368.23, 3,535.22 and 2,076.63

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Solution

The fourth proportional to 2,368.23, 3,535.22 and 2,076.63 is: 3,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.23 : 3,535.22 = 2,076.63 : x
  2. Step 2: Convert to fraction form
    2,368.23/3,535.22 = 2,076.63/x
  3. Step 3: Cross multiply
    2,368.23x = 3,535.22 × 2,076.63
  4. Step 4: Simplify right side
    2,368.23x = 7,341,343.91
  5. Step 5: Solve for x
    x = 7,341,343.91/2,368.23
  6. Step 6: Final answer
    x = 3,099.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.