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Finding the Fourth Proportional to 3,316.56, 4,970.22 and 1,464.90

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Solution

The fourth proportional to 3,316.56, 4,970.22 and 1,464.90 is: 2,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.56 : 4,970.22 = 1,464.90 : x
  2. Step 2: Convert to fraction form
    3,316.56/4,970.22 = 1,464.90/x
  3. Step 3: Cross multiply
    3,316.56x = 4,970.22 × 1,464.90
  4. Step 4: Simplify right side
    3,316.56x = 7,280,875.28
  5. Step 5: Solve for x
    x = 7,280,875.28/3,316.56
  6. Step 6: Final answer
    x = 2,195.31

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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.