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Finding the Fourth Proportional to 2,510.99, 3,465.60 and 1,448.57

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Solution

The fourth proportional to 2,510.99, 3,465.60 and 1,448.57 is: 1,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.99 : 3,465.60 = 1,448.57 : x
  2. Step 2: Convert to fraction form
    2,510.99/3,465.60 = 1,448.57/x
  3. Step 3: Cross multiply
    2,510.99x = 3,465.60 × 1,448.57
  4. Step 4: Simplify right side
    2,510.99x = 5,020,146.86
  5. Step 5: Solve for x
    x = 5,020,146.86/2,510.99
  6. Step 6: Final answer
    x = 1,999.27

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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.