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Finding the Fourth Proportional to 1,675.10, 2,311.66 and 929.08

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Solution

The fourth proportional to 1,675.10, 2,311.66 and 929.08 is: 1,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.10 : 2,311.66 = 929.08 : x
  2. Step 2: Convert to fraction form
    1,675.10/2,311.66 = 929.08/x
  3. Step 3: Cross multiply
    1,675.10x = 2,311.66 × 929.08
  4. Step 4: Simplify right side
    1,675.10x = 2,147,717.07
  5. Step 5: Solve for x
    x = 2,147,717.07/1,675.10
  6. Step 6: Final answer
    x = 1,282.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.