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Finding the Fourth Proportional to 2,303.51, 3,175.65 and 1,639.17

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Solution

The fourth proportional to 2,303.51, 3,175.65 and 1,639.17 is: 2,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.51 : 3,175.65 = 1,639.17 : x
  2. Step 2: Convert to fraction form
    2,303.51/3,175.65 = 1,639.17/x
  3. Step 3: Cross multiply
    2,303.51x = 3,175.65 × 1,639.17
  4. Step 4: Simplify right side
    2,303.51x = 5,205,430.21
  5. Step 5: Solve for x
    x = 5,205,430.21/2,303.51
  6. Step 6: Final answer
    x = 2,259.79

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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.