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Finding the Fourth Proportional to 1,534.28, 2,300.51 and 609.34

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Solution

The fourth proportional to 1,534.28, 2,300.51 and 609.34 is: 913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.28 : 2,300.51 = 609.34 : x
  2. Step 2: Convert to fraction form
    1,534.28/2,300.51 = 609.34/x
  3. Step 3: Cross multiply
    1,534.28x = 2,300.51 × 609.34
  4. Step 4: Simplify right side
    1,534.28x = 1,401,792.76
  5. Step 5: Solve for x
    x = 1,401,792.76/1,534.28
  6. Step 6: Final answer
    x = 913.65

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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.