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Finding the Fourth Proportional to 1,430.01, 2,141.57 and 812.21

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Solution

The fourth proportional to 1,430.01, 2,141.57 and 812.21 is: 1,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 2,141.57 = 812.21 : x
  2. Step 2: Convert to fraction form
    1,430.01/2,141.57 = 812.21/x
  3. Step 3: Cross multiply
    1,430.01x = 2,141.57 × 812.21
  4. Step 4: Simplify right side
    1,430.01x = 1,739,395.89
  5. Step 5: Solve for x
    x = 1,739,395.89/1,430.01
  6. Step 6: Final answer
    x = 1,216.35

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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.