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Finding the Fourth Proportional to 3,415.92, 4,714.05 and 1,923.89

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Solution

The fourth proportional to 3,415.92, 4,714.05 and 1,923.89 is: 2,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.92 : 4,714.05 = 1,923.89 : x
  2. Step 2: Convert to fraction form
    3,415.92/4,714.05 = 1,923.89/x
  3. Step 3: Cross multiply
    3,415.92x = 4,714.05 × 1,923.89
  4. Step 4: Simplify right side
    3,415.92x = 9,069,313.65
  5. Step 5: Solve for x
    x = 9,069,313.65/3,415.92
  6. Step 6: Final answer
    x = 2,655.01

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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.