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Finding the Fourth Proportional to 2,950.56, 4,070.16 and 1,902.24

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Solution

The fourth proportional to 2,950.56, 4,070.16 and 1,902.24 is: 2,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.56 : 4,070.16 = 1,902.24 : x
  2. Step 2: Convert to fraction form
    2,950.56/4,070.16 = 1,902.24/x
  3. Step 3: Cross multiply
    2,950.56x = 4,070.16 × 1,902.24
  4. Step 4: Simplify right side
    2,950.56x = 7,742,421.16
  5. Step 5: Solve for x
    x = 7,742,421.16/2,950.56
  6. Step 6: Final answer
    x = 2,624.05

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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.