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Finding the Fourth Proportional to 1,696.85, 2,544.73 and 875.02

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Solution

The fourth proportional to 1,696.85, 2,544.73 and 875.02 is: 1,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.85 : 2,544.73 = 875.02 : x
  2. Step 2: Convert to fraction form
    1,696.85/2,544.73 = 875.02/x
  3. Step 3: Cross multiply
    1,696.85x = 2,544.73 × 875.02
  4. Step 4: Simplify right side
    1,696.85x = 2,226,689.64
  5. Step 5: Solve for x
    x = 2,226,689.64/1,696.85
  6. Step 6: Final answer
    x = 1,312.25

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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.