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Finding the Fourth Proportional to 2,337.58, 3,506.95 and 694.12

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Solution

The fourth proportional to 2,337.58, 3,506.95 and 694.12 is: 1,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.58 : 3,506.95 = 694.12 : x
  2. Step 2: Convert to fraction form
    2,337.58/3,506.95 = 694.12/x
  3. Step 3: Cross multiply
    2,337.58x = 3,506.95 × 694.12
  4. Step 4: Simplify right side
    2,337.58x = 2,434,240.66
  5. Step 5: Solve for x
    x = 2,434,240.66/2,337.58
  6. Step 6: Final answer
    x = 1,041.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.