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Finding the Fourth Proportional to 2,279.64, 3,415.34 and 1,048.08

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Solution

The fourth proportional to 2,279.64, 3,415.34 and 1,048.08 is: 1,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.64 : 3,415.34 = 1,048.08 : x
  2. Step 2: Convert to fraction form
    2,279.64/3,415.34 = 1,048.08/x
  3. Step 3: Cross multiply
    2,279.64x = 3,415.34 × 1,048.08
  4. Step 4: Simplify right side
    2,279.64x = 3,579,549.55
  5. Step 5: Solve for x
    x = 3,579,549.55/2,279.64
  6. Step 6: Final answer
    x = 1,570.23

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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.