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Finding the Fourth Proportional to 1,532.05, 2,114.10 and 869.01

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Solution

The fourth proportional to 1,532.05, 2,114.10 and 869.01 is: 1,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.05 : 2,114.10 = 869.01 : x
  2. Step 2: Convert to fraction form
    1,532.05/2,114.10 = 869.01/x
  3. Step 3: Cross multiply
    1,532.05x = 2,114.10 × 869.01
  4. Step 4: Simplify right side
    1,532.05x = 1,837,174.04
  5. Step 5: Solve for x
    x = 1,837,174.04/1,532.05
  6. Step 6: Final answer
    x = 1,199.16

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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.