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Finding the Fourth Proportional to 3,135.80, 4,703.70 and 2,041.40

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Solution

The fourth proportional to 3,135.80, 4,703.70 and 2,041.40 is: 3,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.80 : 4,703.70 = 2,041.40 : x
  2. Step 2: Convert to fraction form
    3,135.80/4,703.70 = 2,041.40/x
  3. Step 3: Cross multiply
    3,135.80x = 4,703.70 × 2,041.40
  4. Step 4: Simplify right side
    3,135.80x = 9,602,133.18
  5. Step 5: Solve for x
    x = 9,602,133.18/3,135.80
  6. Step 6: Final answer
    x = 3,062.10

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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.