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Finding the Fourth Proportional to 4,600, 6,900.32 and 1,313.32

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Solution

The fourth proportional to 4,600, 6,900.32 and 1,313.32 is: 1,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 6,900.32 = 1,313.32 : x
  2. Step 2: Convert to fraction form
    4,600/6,900.32 = 1,313.32/x
  3. Step 3: Cross multiply
    4,600x = 6,900.32 × 1,313.32
  4. Step 4: Simplify right side
    4,600x = 9,062,328.26
  5. Step 5: Solve for x
    x = 9,062,328.26/4,600
  6. Step 6: Final answer
    x = 1,970.07

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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.