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Finding the Fourth Proportional to 2,970.58, 4,099.02 and 1,644.30

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Solution

The fourth proportional to 2,970.58, 4,099.02 and 1,644.30 is: 2,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.58 : 4,099.02 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    2,970.58/4,099.02 = 1,644.30/x
  3. Step 3: Cross multiply
    2,970.58x = 4,099.02 × 1,644.30
  4. Step 4: Simplify right side
    2,970.58x = 6,740,018.59
  5. Step 5: Solve for x
    x = 6,740,018.59/2,970.58
  6. Step 6: Final answer
    x = 2,268.92

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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.