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Finding the Fourth Proportional to 2,677.58, 4,017.06 and 1,117.07

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Solution

The fourth proportional to 2,677.58, 4,017.06 and 1,117.07 is: 1,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.58 : 4,017.06 = 1,117.07 : x
  2. Step 2: Convert to fraction form
    2,677.58/4,017.06 = 1,117.07/x
  3. Step 3: Cross multiply
    2,677.58x = 4,017.06 × 1,117.07
  4. Step 4: Simplify right side
    2,677.58x = 4,487,337.21
  5. Step 5: Solve for x
    x = 4,487,337.21/2,677.58
  6. Step 6: Final answer
    x = 1,675.89

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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.