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Finding the Fourth Proportional to 2,605.68, 3,888.32 and 2,328.80

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Solution

The fourth proportional to 2,605.68, 3,888.32 and 2,328.80 is: 3,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.68 : 3,888.32 = 2,328.80 : x
  2. Step 2: Convert to fraction form
    2,605.68/3,888.32 = 2,328.80/x
  3. Step 3: Cross multiply
    2,605.68x = 3,888.32 × 2,328.80
  4. Step 4: Simplify right side
    2,605.68x = 9,055,088.53
  5. Step 5: Solve for x
    x = 9,055,088.53/2,605.68
  6. Step 6: Final answer
    x = 3,475.13

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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.