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Finding the Fourth Proportional to 2,570.34, 3,855.45 and 1,473.90

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Solution

The fourth proportional to 2,570.34, 3,855.45 and 1,473.90 is: 2,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.34 : 3,855.45 = 1,473.90 : x
  2. Step 2: Convert to fraction form
    2,570.34/3,855.45 = 1,473.90/x
  3. Step 3: Cross multiply
    2,570.34x = 3,855.45 × 1,473.90
  4. Step 4: Simplify right side
    2,570.34x = 5,682,547.76
  5. Step 5: Solve for x
    x = 5,682,547.76/2,570.34
  6. Step 6: Final answer
    x = 2,210.82

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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.