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Finding the Fourth Proportional to 2,510.93, 3,465.49 and 2,400.20

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Solution

The fourth proportional to 2,510.93, 3,465.49 and 2,400.20 is: 3,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.93 : 3,465.49 = 2,400.20 : x
  2. Step 2: Convert to fraction form
    2,510.93/3,465.49 = 2,400.20/x
  3. Step 3: Cross multiply
    2,510.93x = 3,465.49 × 2,400.20
  4. Step 4: Simplify right side
    2,510.93x = 8,317,845.77
  5. Step 5: Solve for x
    x = 8,317,845.77/2,510.93
  6. Step 6: Final answer
    x = 3,312.65

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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.