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Finding the Fourth Proportional to 2,364.12, 3,547.80 and 2,263.68

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Solution

The fourth proportional to 2,364.12, 3,547.80 and 2,263.68 is: 3,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.12 : 3,547.80 = 2,263.68 : x
  2. Step 2: Convert to fraction form
    2,364.12/3,547.80 = 2,263.68/x
  3. Step 3: Cross multiply
    2,364.12x = 3,547.80 × 2,263.68
  4. Step 4: Simplify right side
    2,364.12x = 8,031,083.90
  5. Step 5: Solve for x
    x = 8,031,083.90/2,364.12
  6. Step 6: Final answer
    x = 3,397.07

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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.