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Finding the Fourth Proportional to 1,346.30, 2,011.62 and 974.34

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Solution

The fourth proportional to 1,346.30, 2,011.62 and 974.34 is: 1,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.30 : 2,011.62 = 974.34 : x
  2. Step 2: Convert to fraction form
    1,346.30/2,011.62 = 974.34/x
  3. Step 3: Cross multiply
    1,346.30x = 2,011.62 × 974.34
  4. Step 4: Simplify right side
    1,346.30x = 1,960,001.83
  5. Step 5: Solve for x
    x = 1,960,001.83/1,346.30
  6. Step 6: Final answer
    x = 1,455.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.