Home / 1,631.60-2,447.40-477.35

Finding the Fourth Proportional to 1,631.60, 2,447.40 and 477.35

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Solution

The fourth proportional to 1,631.60, 2,447.40 and 477.35 is: 716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.60 : 2,447.40 = 477.35 : x
  2. Step 2: Convert to fraction form
    1,631.60/2,447.40 = 477.35/x
  3. Step 3: Cross multiply
    1,631.60x = 2,447.40 × 477.35
  4. Step 4: Simplify right side
    1,631.60x = 1,168,252.96
  5. Step 5: Solve for x
    x = 1,168,252.96/1,631.60
  6. Step 6: Final answer
    x = 716.02

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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.