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Finding the Fourth Proportional to 2,175.86, 3,001.86 and 1,430.22

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Solution

The fourth proportional to 2,175.86, 3,001.86 and 1,430.22 is: 1,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.86 : 3,001.86 = 1,430.22 : x
  2. Step 2: Convert to fraction form
    2,175.86/3,001.86 = 1,430.22/x
  3. Step 3: Cross multiply
    2,175.86x = 3,001.86 × 1,430.22
  4. Step 4: Simplify right side
    2,175.86x = 4,293,320.21
  5. Step 5: Solve for x
    x = 4,293,320.21/2,175.86
  6. Step 6: Final answer
    x = 1,973.16

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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.