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Finding the Fourth Proportional to 1,754.68, 2,421.48 and 1,164.16

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Solution

The fourth proportional to 1,754.68, 2,421.48 and 1,164.16 is: 1,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.68 : 2,421.48 = 1,164.16 : x
  2. Step 2: Convert to fraction form
    1,754.68/2,421.48 = 1,164.16/x
  3. Step 3: Cross multiply
    1,754.68x = 2,421.48 × 1,164.16
  4. Step 4: Simplify right side
    1,754.68x = 2,818,990.16
  5. Step 5: Solve for x
    x = 2,818,990.16/1,754.68
  6. Step 6: Final answer
    x = 1,606.56

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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.