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Finding the Fourth Proportional to 2,854.80, 4,282.32 and 1,698

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Solution

The fourth proportional to 2,854.80, 4,282.32 and 1,698 is: 2,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.80 : 4,282.32 = 1,698 : x
  2. Step 2: Convert to fraction form
    2,854.80/4,282.32 = 1,698/x
  3. Step 3: Cross multiply
    2,854.80x = 4,282.32 × 1,698
  4. Step 4: Simplify right side
    2,854.80x = 7,271,379.36
  5. Step 5: Solve for x
    x = 7,271,379.36/2,854.80
  6. Step 6: Final answer
    x = 2,547.07

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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.