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Finding the Fourth Proportional to 2,870.34, 4,305.74 and 1,226.90

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Solution

The fourth proportional to 2,870.34, 4,305.74 and 1,226.90 is: 1,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.34 : 4,305.74 = 1,226.90 : x
  2. Step 2: Convert to fraction form
    2,870.34/4,305.74 = 1,226.90/x
  3. Step 3: Cross multiply
    2,870.34x = 4,305.74 × 1,226.90
  4. Step 4: Simplify right side
    2,870.34x = 5,282,699.72
  5. Step 5: Solve for x
    x = 5,282,699.72/2,870.34
  6. Step 6: Final answer
    x = 1,840.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.