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Finding the Fourth Proportional to 2,683.98, 3,703.79 and 1,505.06

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Solution

The fourth proportional to 2,683.98, 3,703.79 and 1,505.06 is: 2,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.98 : 3,703.79 = 1,505.06 : x
  2. Step 2: Convert to fraction form
    2,683.98/3,703.79 = 1,505.06/x
  3. Step 3: Cross multiply
    2,683.98x = 3,703.79 × 1,505.06
  4. Step 4: Simplify right side
    2,683.98x = 5,574,425.31
  5. Step 5: Solve for x
    x = 5,574,425.31/2,683.98
  6. Step 6: Final answer
    x = 2,076.93

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1.5x scale

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.