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Finding the Fourth Proportional to 2,465.65, 3,403.01 and 1,471.51

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Solution

The fourth proportional to 2,465.65, 3,403.01 and 1,471.51 is: 2,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.65 : 3,403.01 = 1,471.51 : x
  2. Step 2: Convert to fraction form
    2,465.65/3,403.01 = 1,471.51/x
  3. Step 3: Cross multiply
    2,465.65x = 3,403.01 × 1,471.51
  4. Step 4: Simplify right side
    2,465.65x = 5,007,571.18
  5. Step 5: Solve for x
    x = 5,007,571.18/2,465.65
  6. Step 6: Final answer
    x = 2,030.93

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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.