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Finding the Fourth Proportional to 3,210.66, 4,430.34 and 1,865.86

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Solution

The fourth proportional to 3,210.66, 4,430.34 and 1,865.86 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.66 : 4,430.34 = 1,865.86 : x
  2. Step 2: Convert to fraction form
    3,210.66/4,430.34 = 1,865.86/x
  3. Step 3: Cross multiply
    3,210.66x = 4,430.34 × 1,865.86
  4. Step 4: Simplify right side
    3,210.66x = 8,266,383.12
  5. Step 5: Solve for x
    x = 8,266,383.12/3,210.66
  6. Step 6: Final answer
    x = 2,574.67

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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.