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Finding the Fourth Proportional to 3,117.44, 4,674.78 and 1,656.28

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Solution

The fourth proportional to 3,117.44, 4,674.78 and 1,656.28 is: 2,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.44 : 4,674.78 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    3,117.44/4,674.78 = 1,656.28/x
  3. Step 3: Cross multiply
    3,117.44x = 4,674.78 × 1,656.28
  4. Step 4: Simplify right side
    3,117.44x = 7,742,744.62
  5. Step 5: Solve for x
    x = 7,742,744.62/3,117.44
  6. Step 6: Final answer
    x = 2,483.69

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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.