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Finding the Fourth Proportional to 2,175.83, 3,001.86 and 1,430.19

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Solution

The fourth proportional to 2,175.83, 3,001.86 and 1,430.19 is: 1,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.83 : 3,001.86 = 1,430.19 : x
  2. Step 2: Convert to fraction form
    2,175.83/3,001.86 = 1,430.19/x
  3. Step 3: Cross multiply
    2,175.83x = 3,001.86 × 1,430.19
  4. Step 4: Simplify right side
    2,175.83x = 4,293,230.15
  5. Step 5: Solve for x
    x = 4,293,230.15/2,175.83
  6. Step 6: Final answer
    x = 1,973.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.