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Finding the Fourth Proportional to 2,993, 4,130.34 and 1,946.84

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Solution

The fourth proportional to 2,993, 4,130.34 and 1,946.84 is: 2,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993 : 4,130.34 = 1,946.84 : x
  2. Step 2: Convert to fraction form
    2,993/4,130.34 = 1,946.84/x
  3. Step 3: Cross multiply
    2,993x = 4,130.34 × 1,946.84
  4. Step 4: Simplify right side
    2,993x = 8,041,111.13
  5. Step 5: Solve for x
    x = 8,041,111.13/2,993
  6. Step 6: Final answer
    x = 2,686.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.