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Finding the Fourth Proportional to 2,142.34, 2,956.29 and 1,210.66

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Solution

The fourth proportional to 2,142.34, 2,956.29 and 1,210.66 is: 1,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.34 : 2,956.29 = 1,210.66 : x
  2. Step 2: Convert to fraction form
    2,142.34/2,956.29 = 1,210.66/x
  3. Step 3: Cross multiply
    2,142.34x = 2,956.29 × 1,210.66
  4. Step 4: Simplify right side
    2,142.34x = 3,579,062.05
  5. Step 5: Solve for x
    x = 3,579,062.05/2,142.34
  6. Step 6: Final answer
    x = 1,670.63

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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.