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Finding the Fourth Proportional to 2,698.17, 4,045.63 and 1,055.49

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Solution

The fourth proportional to 2,698.17, 4,045.63 and 1,055.49 is: 1,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.17 : 4,045.63 = 1,055.49 : x
  2. Step 2: Convert to fraction form
    2,698.17/4,045.63 = 1,055.49/x
  3. Step 3: Cross multiply
    2,698.17x = 4,045.63 × 1,055.49
  4. Step 4: Simplify right side
    2,698.17x = 4,270,122.01
  5. Step 5: Solve for x
    x = 4,270,122.01/2,698.17
  6. Step 6: Final answer
    x = 1,582.60

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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.