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Finding the Fourth Proportional to 2,023.94, 3,035.93 and 707.64

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Solution

The fourth proportional to 2,023.94, 3,035.93 and 707.64 is: 1,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.94 : 3,035.93 = 707.64 : x
  2. Step 2: Convert to fraction form
    2,023.94/3,035.93 = 707.64/x
  3. Step 3: Cross multiply
    2,023.94x = 3,035.93 × 707.64
  4. Step 4: Simplify right side
    2,023.94x = 2,148,334.56
  5. Step 5: Solve for x
    x = 2,148,334.56/2,023.94
  6. Step 6: Final answer
    x = 1,061.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.