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Finding the Fourth Proportional to 1,463.84, 2,193.28 and 1,172.16

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Solution

The fourth proportional to 1,463.84, 2,193.28 and 1,172.16 is: 1,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.84 : 2,193.28 = 1,172.16 : x
  2. Step 2: Convert to fraction form
    1,463.84/2,193.28 = 1,172.16/x
  3. Step 3: Cross multiply
    1,463.84x = 2,193.28 × 1,172.16
  4. Step 4: Simplify right side
    1,463.84x = 2,570,875.08
  5. Step 5: Solve for x
    x = 2,570,875.08/1,463.84
  6. Step 6: Final answer
    x = 1,756.25

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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.