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Finding the Fourth Proportional to 2,176.42, 2,998.47 and 1,786

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Solution

The fourth proportional to 2,176.42, 2,998.47 and 1,786 is: 2,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.42 : 2,998.47 = 1,786 : x
  2. Step 2: Convert to fraction form
    2,176.42/2,998.47 = 1,786/x
  3. Step 3: Cross multiply
    2,176.42x = 2,998.47 × 1,786
  4. Step 4: Simplify right side
    2,176.42x = 5,355,267.42
  5. Step 5: Solve for x
    x = 5,355,267.42/2,176.42
  6. Step 6: Final answer
    x = 2,460.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.