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Finding the Fourth Proportional to 2,962.68, 4,088.16 and 1,842

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Solution

The fourth proportional to 2,962.68, 4,088.16 and 1,842 is: 2,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.68 : 4,088.16 = 1,842 : x
  2. Step 2: Convert to fraction form
    2,962.68/4,088.16 = 1,842/x
  3. Step 3: Cross multiply
    2,962.68x = 4,088.16 × 1,842
  4. Step 4: Simplify right side
    2,962.68x = 7,530,390.72
  5. Step 5: Solve for x
    x = 7,530,390.72/2,962.68
  6. Step 6: Final answer
    x = 2,541.75

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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.