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Finding the Fourth Proportional to 2,909.40, 4,015.02 and 1,730.46

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Solution

The fourth proportional to 2,909.40, 4,015.02 and 1,730.46 is: 2,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.40 : 4,015.02 = 1,730.46 : x
  2. Step 2: Convert to fraction form
    2,909.40/4,015.02 = 1,730.46/x
  3. Step 3: Cross multiply
    2,909.40x = 4,015.02 × 1,730.46
  4. Step 4: Simplify right side
    2,909.40x = 6,947,831.51
  5. Step 5: Solve for x
    x = 6,947,831.51/2,909.40
  6. Step 6: Final answer
    x = 2,388.06

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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.