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Finding the Fourth Proportional to 3,102.94, 4,643.47 and 2,366.65

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Solution

The fourth proportional to 3,102.94, 4,643.47 and 2,366.65 is: 3,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,643.47 = 2,366.65 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,643.47 = 2,366.65/x
  3. Step 3: Cross multiply
    3,102.94x = 4,643.47 × 2,366.65
  4. Step 4: Simplify right side
    3,102.94x = 10,989,444.26
  5. Step 5: Solve for x
    x = 10,989,444.26/3,102.94
  6. Step 6: Final answer
    x = 3,541.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.