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Finding the Fourth Proportional to 2,683.04, 3,702.08 and 1,938.08

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Solution

The fourth proportional to 2,683.04, 3,702.08 and 1,938.08 is: 2,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.04 : 3,702.08 = 1,938.08 : x
  2. Step 2: Convert to fraction form
    2,683.04/3,702.08 = 1,938.08/x
  3. Step 3: Cross multiply
    2,683.04x = 3,702.08 × 1,938.08
  4. Step 4: Simplify right side
    2,683.04x = 7,174,927.21
  5. Step 5: Solve for x
    x = 7,174,927.21/2,683.04
  6. Step 6: Final answer
    x = 2,674.18

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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.