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Finding the Fourth Proportional to 2,895.42, 4,343.31 and 1,164

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Solution

The fourth proportional to 2,895.42, 4,343.31 and 1,164 is: 1,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.42 : 4,343.31 = 1,164 : x
  2. Step 2: Convert to fraction form
    2,895.42/4,343.31 = 1,164/x
  3. Step 3: Cross multiply
    2,895.42x = 4,343.31 × 1,164
  4. Step 4: Simplify right side
    2,895.42x = 5,055,612.84
  5. Step 5: Solve for x
    x = 5,055,612.84/2,895.42
  6. Step 6: Final answer
    x = 1,746.07

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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.