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Finding the Fourth Proportional to 2,430.81, 3,646.57 and 870.47

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Solution

The fourth proportional to 2,430.81, 3,646.57 and 870.47 is: 1,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.81 : 3,646.57 = 870.47 : x
  2. Step 2: Convert to fraction form
    2,430.81/3,646.57 = 870.47/x
  3. Step 3: Cross multiply
    2,430.81x = 3,646.57 × 870.47
  4. Step 4: Simplify right side
    2,430.81x = 3,174,234.94
  5. Step 5: Solve for x
    x = 3,174,234.94/2,430.81
  6. Step 6: Final answer
    x = 1,305.83

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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.