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Finding the Fourth Proportional to 1,345.62, 1,855.50 and 847.68

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Solution

The fourth proportional to 1,345.62, 1,855.50 and 847.68 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.62 : 1,855.50 = 847.68 : x
  2. Step 2: Convert to fraction form
    1,345.62/1,855.50 = 847.68/x
  3. Step 3: Cross multiply
    1,345.62x = 1,855.50 × 847.68
  4. Step 4: Simplify right side
    1,345.62x = 1,572,870.24
  5. Step 5: Solve for x
    x = 1,572,870.24/1,345.62
  6. Step 6: Final answer
    x = 1,168.88

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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.