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Finding the Fourth Proportional to 4,196, 6,294.02 and 1,118

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Solution

The fourth proportional to 4,196, 6,294.02 and 1,118 is: 1,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 6,294.02 = 1,118 : x
  2. Step 2: Convert to fraction form
    4,196/6,294.02 = 1,118/x
  3. Step 3: Cross multiply
    4,196x = 6,294.02 × 1,118
  4. Step 4: Simplify right side
    4,196x = 7,036,714.36
  5. Step 5: Solve for x
    x = 7,036,714.36/4,196
  6. Step 6: Final answer
    x = 1,677.01

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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.