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Finding the Fourth Proportional to 1,593.42, 2,395.58 and 1,463.77

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Solution

The fourth proportional to 1,593.42, 2,395.58 and 1,463.77 is: 2,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.42 : 2,395.58 = 1,463.77 : x
  2. Step 2: Convert to fraction form
    1,593.42/2,395.58 = 1,463.77/x
  3. Step 3: Cross multiply
    1,593.42x = 2,395.58 × 1,463.77
  4. Step 4: Simplify right side
    1,593.42x = 3,506,573.81
  5. Step 5: Solve for x
    x = 3,506,573.81/1,593.42
  6. Step 6: Final answer
    x = 2,200.66

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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.