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Finding the Fourth Proportional to 1,593.54, 2,386.80 and 1,284.66

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Solution

The fourth proportional to 1,593.54, 2,386.80 and 1,284.66 is: 1,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.54 : 2,386.80 = 1,284.66 : x
  2. Step 2: Convert to fraction form
    1,593.54/2,386.80 = 1,284.66/x
  3. Step 3: Cross multiply
    1,593.54x = 2,386.80 × 1,284.66
  4. Step 4: Simplify right side
    1,593.54x = 3,066,226.49
  5. Step 5: Solve for x
    x = 3,066,226.49/1,593.54
  6. Step 6: Final answer
    x = 1,924.16

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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.