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Finding the Fourth Proportional to 3,798.85, 5,698.88 and 1,607.59

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Solution

The fourth proportional to 3,798.85, 5,698.88 and 1,607.59 is: 2,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.85 : 5,698.88 = 1,607.59 : x
  2. Step 2: Convert to fraction form
    3,798.85/5,698.88 = 1,607.59/x
  3. Step 3: Cross multiply
    3,798.85x = 5,698.88 × 1,607.59
  4. Step 4: Simplify right side
    3,798.85x = 9,161,454.46
  5. Step 5: Solve for x
    x = 9,161,454.46/3,798.85
  6. Step 6: Final answer
    x = 2,411.64

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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.