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Finding the Fourth Proportional to 1,973.42, 2,962.56 and 1,808.18

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Solution

The fourth proportional to 1,973.42, 2,962.56 and 1,808.18 is: 2,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.42 : 2,962.56 = 1,808.18 : x
  2. Step 2: Convert to fraction form
    1,973.42/2,962.56 = 1,808.18/x
  3. Step 3: Cross multiply
    1,973.42x = 2,962.56 × 1,808.18
  4. Step 4: Simplify right side
    1,973.42x = 5,356,841.74
  5. Step 5: Solve for x
    x = 5,356,841.74/1,973.42
  6. Step 6: Final answer
    x = 2,714.50

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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.