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Finding the Fourth Proportional to 2,392.65, 3,302.28 and 1,507.77

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Solution

The fourth proportional to 2,392.65, 3,302.28 and 1,507.77 is: 2,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.65 : 3,302.28 = 1,507.77 : x
  2. Step 2: Convert to fraction form
    2,392.65/3,302.28 = 1,507.77/x
  3. Step 3: Cross multiply
    2,392.65x = 3,302.28 × 1,507.77
  4. Step 4: Simplify right side
    2,392.65x = 4,979,078.72
  5. Step 5: Solve for x
    x = 4,979,078.72/2,392.65
  6. Step 6: Final answer
    x = 2,080.99

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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.