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Finding the Fourth Proportional to 1,652.26, 2,476.54 and 784.75

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Solution

The fourth proportional to 1,652.26, 2,476.54 and 784.75 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.26 : 2,476.54 = 784.75 : x
  2. Step 2: Convert to fraction form
    1,652.26/2,476.54 = 784.75/x
  3. Step 3: Cross multiply
    1,652.26x = 2,476.54 × 784.75
  4. Step 4: Simplify right side
    1,652.26x = 1,943,464.77
  5. Step 5: Solve for x
    x = 1,943,464.77/1,652.26
  6. Step 6: Final answer
    x = 1,176.25

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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.