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Finding the Fourth Proportional to 2,143.59, 2,958.21 and 1,199.35

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Solution

The fourth proportional to 2,143.59, 2,958.21 and 1,199.35 is: 1,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.59 : 2,958.21 = 1,199.35 : x
  2. Step 2: Convert to fraction form
    2,143.59/2,958.21 = 1,199.35/x
  3. Step 3: Cross multiply
    2,143.59x = 2,958.21 × 1,199.35
  4. Step 4: Simplify right side
    2,143.59x = 3,547,929.16
  5. Step 5: Solve for x
    x = 3,547,929.16/2,143.59
  6. Step 6: Final answer
    x = 1,655.13

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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.