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Finding the Fourth Proportional to 3,118.18, 4,677.26 and 897.07

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Solution

The fourth proportional to 3,118.18, 4,677.26 and 897.07 is: 1,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.18 : 4,677.26 = 897.07 : x
  2. Step 2: Convert to fraction form
    3,118.18/4,677.26 = 897.07/x
  3. Step 3: Cross multiply
    3,118.18x = 4,677.26 × 897.07
  4. Step 4: Simplify right side
    3,118.18x = 4,195,820.19
  5. Step 5: Solve for x
    x = 4,195,820.19/3,118.18
  6. Step 6: Final answer
    x = 1,345.60

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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.