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Finding the Fourth Proportional to 2,468.58, 3,702.85 and 619.68

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Solution

The fourth proportional to 2,468.58, 3,702.85 and 619.68 is: 929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.58 : 3,702.85 = 619.68 : x
  2. Step 2: Convert to fraction form
    2,468.58/3,702.85 = 619.68/x
  3. Step 3: Cross multiply
    2,468.58x = 3,702.85 × 619.68
  4. Step 4: Simplify right side
    2,468.58x = 2,294,582.09
  5. Step 5: Solve for x
    x = 2,294,582.09/2,468.58
  6. Step 6: Final answer
    x = 929.51

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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.