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Finding the Fourth Proportional to 1,842.68, 2,540.98 and 1,423.10

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Solution

The fourth proportional to 1,842.68, 2,540.98 and 1,423.10 is: 1,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,540.98 = 1,423.10 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,540.98 = 1,423.10/x
  3. Step 3: Cross multiply
    1,842.68x = 2,540.98 × 1,423.10
  4. Step 4: Simplify right side
    1,842.68x = 3,616,068.64
  5. Step 5: Solve for x
    x = 3,616,068.64/1,842.68
  6. Step 6: Final answer
    x = 1,962.40

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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.