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Finding the Fourth Proportional to 4,654.36, 6,980.52 and 1,367.68

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Solution

The fourth proportional to 4,654.36, 6,980.52 and 1,367.68 is: 2,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.36 : 6,980.52 = 1,367.68 : x
  2. Step 2: Convert to fraction form
    4,654.36/6,980.52 = 1,367.68/x
  3. Step 3: Cross multiply
    4,654.36x = 6,980.52 × 1,367.68
  4. Step 4: Simplify right side
    4,654.36x = 9,547,117.59
  5. Step 5: Solve for x
    x = 9,547,117.59/4,654.36
  6. Step 6: Final answer
    x = 2,051.22

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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.