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Finding the Fourth Proportional to 4,465.18, 6,697.12 and 1,178.51

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Solution

The fourth proportional to 4,465.18, 6,697.12 and 1,178.51 is: 1,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.18 : 6,697.12 = 1,178.51 : x
  2. Step 2: Convert to fraction form
    4,465.18/6,697.12 = 1,178.51/x
  3. Step 3: Cross multiply
    4,465.18x = 6,697.12 × 1,178.51
  4. Step 4: Simplify right side
    4,465.18x = 7,892,583.51
  5. Step 5: Solve for x
    x = 7,892,583.51/4,465.18
  6. Step 6: Final answer
    x = 1,767.58

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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.