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Finding the Fourth Proportional to 1,511.42, 2,267.46 and 895.59

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Solution

The fourth proportional to 1,511.42, 2,267.46 and 895.59 is: 1,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.42 : 2,267.46 = 895.59 : x
  2. Step 2: Convert to fraction form
    1,511.42/2,267.46 = 895.59/x
  3. Step 3: Cross multiply
    1,511.42x = 2,267.46 × 895.59
  4. Step 4: Simplify right side
    1,511.42x = 2,030,714.50
  5. Step 5: Solve for x
    x = 2,030,714.50/1,511.42
  6. Step 6: Final answer
    x = 1,343.58

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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.