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Finding the Fourth Proportional to 3,116.53, 4,676.52 and 1,655.63

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Solution

The fourth proportional to 3,116.53, 4,676.52 and 1,655.63 is: 2,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.53 : 4,676.52 = 1,655.63 : x
  2. Step 2: Convert to fraction form
    3,116.53/4,676.52 = 1,655.63/x
  3. Step 3: Cross multiply
    3,116.53x = 4,676.52 × 1,655.63
  4. Step 4: Simplify right side
    3,116.53x = 7,742,586.81
  5. Step 5: Solve for x
    x = 7,742,586.81/3,116.53
  6. Step 6: Final answer
    x = 2,484.36

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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.