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Finding the Fourth Proportional to 2,762.96, 4,145.10 and 1,464.14

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Solution

The fourth proportional to 2,762.96, 4,145.10 and 1,464.14 is: 2,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.96 : 4,145.10 = 1,464.14 : x
  2. Step 2: Convert to fraction form
    2,762.96/4,145.10 = 1,464.14/x
  3. Step 3: Cross multiply
    2,762.96x = 4,145.10 × 1,464.14
  4. Step 4: Simplify right side
    2,762.96x = 6,069,006.71
  5. Step 5: Solve for x
    x = 6,069,006.71/2,762.96
  6. Step 6: Final answer
    x = 2,196.56

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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.