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Finding the Fourth Proportional to 2,269.85, 3,133.58 and 1,570.01

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Solution

The fourth proportional to 2,269.85, 3,133.58 and 1,570.01 is: 2,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.85 : 3,133.58 = 1,570.01 : x
  2. Step 2: Convert to fraction form
    2,269.85/3,133.58 = 1,570.01/x
  3. Step 3: Cross multiply
    2,269.85x = 3,133.58 × 1,570.01
  4. Step 4: Simplify right side
    2,269.85x = 4,919,728.42
  5. Step 5: Solve for x
    x = 4,919,728.42/2,269.85
  6. Step 6: Final answer
    x = 2,167.43

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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.