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Finding the Fourth Proportional to 2,923.74, 4,035.00 and 1,665.19

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Solution

The fourth proportional to 2,923.74, 4,035.00 and 1,665.19 is: 2,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.74 : 4,035.00 = 1,665.19 : x
  2. Step 2: Convert to fraction form
    2,923.74/4,035.00 = 1,665.19/x
  3. Step 3: Cross multiply
    2,923.74x = 4,035.00 × 1,665.19
  4. Step 4: Simplify right side
    2,923.74x = 6,719,050.60
  5. Step 5: Solve for x
    x = 6,719,050.60/2,923.74
  6. Step 6: Final answer
    x = 2,298.10

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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.