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Finding the Fourth Proportional to 2,931.46, 4,047.18 and 1,938.40

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Solution

The fourth proportional to 2,931.46, 4,047.18 and 1,938.40 is: 2,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.46 : 4,047.18 = 1,938.40 : x
  2. Step 2: Convert to fraction form
    2,931.46/4,047.18 = 1,938.40/x
  3. Step 3: Cross multiply
    2,931.46x = 4,047.18 × 1,938.40
  4. Step 4: Simplify right side
    2,931.46x = 7,845,053.71
  5. Step 5: Solve for x
    x = 7,845,053.71/2,931.46
  6. Step 6: Final answer
    x = 2,676.16

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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.