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Finding the Fourth Proportional to 2,913.40, 4,018.62 and 1,671.40

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Solution

The fourth proportional to 2,913.40, 4,018.62 and 1,671.40 is: 2,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.40 : 4,018.62 = 1,671.40 : x
  2. Step 2: Convert to fraction form
    2,913.40/4,018.62 = 1,671.40/x
  3. Step 3: Cross multiply
    2,913.40x = 4,018.62 × 1,671.40
  4. Step 4: Simplify right side
    2,913.40x = 6,716,721.47
  5. Step 5: Solve for x
    x = 6,716,721.47/2,913.40
  6. Step 6: Final answer
    x = 2,305.46

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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.