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Finding the Fourth Proportional to 3,032.92, 4,544.46 and 1,570

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Solution

The fourth proportional to 3,032.92, 4,544.46 and 1,570 is: 2,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.92 : 4,544.46 = 1,570 : x
  2. Step 2: Convert to fraction form
    3,032.92/4,544.46 = 1,570/x
  3. Step 3: Cross multiply
    3,032.92x = 4,544.46 × 1,570
  4. Step 4: Simplify right side
    3,032.92x = 7,134,802.20
  5. Step 5: Solve for x
    x = 7,134,802.20/3,032.92
  6. Step 6: Final answer
    x = 2,352.45

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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.