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Finding the Fourth Proportional to 1,563.03, 2,153.93 and 1,412.01

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Solution

The fourth proportional to 1,563.03, 2,153.93 and 1,412.01 is: 1,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.03 : 2,153.93 = 1,412.01 : x
  2. Step 2: Convert to fraction form
    1,563.03/2,153.93 = 1,412.01/x
  3. Step 3: Cross multiply
    1,563.03x = 2,153.93 × 1,412.01
  4. Step 4: Simplify right side
    1,563.03x = 3,041,363.64
  5. Step 5: Solve for x
    x = 3,041,363.64/1,563.03
  6. Step 6: Final answer
    x = 1,945.81

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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.