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Finding the Fourth Proportional to 2,596.59, 3,583.44 and 1,548.72

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Solution

The fourth proportional to 2,596.59, 3,583.44 and 1,548.72 is: 2,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.59 : 3,583.44 = 1,548.72 : x
  2. Step 2: Convert to fraction form
    2,596.59/3,583.44 = 1,548.72/x
  3. Step 3: Cross multiply
    2,596.59x = 3,583.44 × 1,548.72
  4. Step 4: Simplify right side
    2,596.59x = 5,549,745.20
  5. Step 5: Solve for x
    x = 5,549,745.20/2,596.59
  6. Step 6: Final answer
    x = 2,137.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.