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Finding the Fourth Proportional to 4,776.72, 7,165.80 and 1,698

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Solution

The fourth proportional to 4,776.72, 7,165.80 and 1,698 is: 2,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.72 : 7,165.80 = 1,698 : x
  2. Step 2: Convert to fraction form
    4,776.72/7,165.80 = 1,698/x
  3. Step 3: Cross multiply
    4,776.72x = 7,165.80 × 1,698
  4. Step 4: Simplify right side
    4,776.72x = 12,167,528.40
  5. Step 5: Solve for x
    x = 12,167,528.40/4,776.72
  6. Step 6: Final answer
    x = 2,547.26

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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.