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Finding the Fourth Proportional to 3,052.60, 4,212.60 and 1,655.35

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Solution

The fourth proportional to 3,052.60, 4,212.60 and 1,655.35 is: 2,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.60 : 4,212.60 = 1,655.35 : x
  2. Step 2: Convert to fraction form
    3,052.60/4,212.60 = 1,655.35/x
  3. Step 3: Cross multiply
    3,052.60x = 4,212.60 × 1,655.35
  4. Step 4: Simplify right side
    3,052.60x = 6,973,302.21
  5. Step 5: Solve for x
    x = 6,973,302.21/3,052.60
  6. Step 6: Final answer
    x = 2,284.38

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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.