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Finding the Fourth Proportional to 2,770.02, 4,153.05 and 1,536.66

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Solution

The fourth proportional to 2,770.02, 4,153.05 and 1,536.66 is: 2,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.02 : 4,153.05 = 1,536.66 : x
  2. Step 2: Convert to fraction form
    2,770.02/4,153.05 = 1,536.66/x
  3. Step 3: Cross multiply
    2,770.02x = 4,153.05 × 1,536.66
  4. Step 4: Simplify right side
    2,770.02x = 6,381,825.81
  5. Step 5: Solve for x
    x = 6,381,825.81/2,770.02
  6. Step 6: Final answer
    x = 2,303.89

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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.