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Finding the Fourth Proportional to 3,051.16, 4,210.16 and 1,724.64

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Solution

The fourth proportional to 3,051.16, 4,210.16 and 1,724.64 is: 2,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.16 : 4,210.16 = 1,724.64 : x
  2. Step 2: Convert to fraction form
    3,051.16/4,210.16 = 1,724.64/x
  3. Step 3: Cross multiply
    3,051.16x = 4,210.16 × 1,724.64
  4. Step 4: Simplify right side
    3,051.16x = 7,261,010.34
  5. Step 5: Solve for x
    x = 7,261,010.34/3,051.16
  6. Step 6: Final answer
    x = 2,379.75

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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.