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Finding the Fourth Proportional to 2,895.39, 4,343.70 and 1,116.50

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Solution

The fourth proportional to 2,895.39, 4,343.70 and 1,116.50 is: 1,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.39 : 4,343.70 = 1,116.50 : x
  2. Step 2: Convert to fraction form
    2,895.39/4,343.70 = 1,116.50/x
  3. Step 3: Cross multiply
    2,895.39x = 4,343.70 × 1,116.50
  4. Step 4: Simplify right side
    2,895.39x = 4,849,713.75
  5. Step 5: Solve for x
    x = 4,849,713.75/2,895.39
  6. Step 6: Final answer
    x = 1,674.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.