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Finding the Fourth Proportional to 2,362.34, 3,543.49 and 718.89

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Solution

The fourth proportional to 2,362.34, 3,543.49 and 718.89 is: 1,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.34 : 3,543.49 = 718.89 : x
  2. Step 2: Convert to fraction form
    2,362.34/3,543.49 = 718.89/x
  3. Step 3: Cross multiply
    2,362.34x = 3,543.49 × 718.89
  4. Step 4: Simplify right side
    2,362.34x = 2,547,367.14
  5. Step 5: Solve for x
    x = 2,547,367.14/2,362.34
  6. Step 6: Final answer
    x = 1,078.32

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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.