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Finding the Fourth Proportional to 2,970.04, 4,096.02 and 1,921

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Solution

The fourth proportional to 2,970.04, 4,096.02 and 1,921 is: 2,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.04 : 4,096.02 = 1,921 : x
  2. Step 2: Convert to fraction form
    2,970.04/4,096.02 = 1,921/x
  3. Step 3: Cross multiply
    2,970.04x = 4,096.02 × 1,921
  4. Step 4: Simplify right side
    2,970.04x = 7,868,454.42
  5. Step 5: Solve for x
    x = 7,868,454.42/2,970.04
  6. Step 6: Final answer
    x = 2,649.28

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