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Finding the Fourth Proportional to 2,698.04, 4,043.82 and 1,465.40

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Solution

The fourth proportional to 2,698.04, 4,043.82 and 1,465.40 is: 2,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.04 : 4,043.82 = 1,465.40 : x
  2. Step 2: Convert to fraction form
    2,698.04/4,043.82 = 1,465.40/x
  3. Step 3: Cross multiply
    2,698.04x = 4,043.82 × 1,465.40
  4. Step 4: Simplify right side
    2,698.04x = 5,925,813.83
  5. Step 5: Solve for x
    x = 5,925,813.83/2,698.04
  6. Step 6: Final answer
    x = 2,196.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.