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Finding the Fourth Proportional to 1,755.65, 2,631.59 and 933.10

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Solution

The fourth proportional to 1,755.65, 2,631.59 and 933.10 is: 1,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.65 : 2,631.59 = 933.10 : x
  2. Step 2: Convert to fraction form
    1,755.65/2,631.59 = 933.10/x
  3. Step 3: Cross multiply
    1,755.65x = 2,631.59 × 933.10
  4. Step 4: Simplify right side
    1,755.65x = 2,455,528.88
  5. Step 5: Solve for x
    x = 2,455,528.88/1,755.65
  6. Step 6: Final answer
    x = 1,398.64

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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.