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Finding the Fourth Proportional to 2,970.02, 4,098.68 and 1,851.42

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Solution

The fourth proportional to 2,970.02, 4,098.68 and 1,851.42 is: 2,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.02 : 4,098.68 = 1,851.42 : x
  2. Step 2: Convert to fraction form
    2,970.02/4,098.68 = 1,851.42/x
  3. Step 3: Cross multiply
    2,970.02x = 4,098.68 × 1,851.42
  4. Step 4: Simplify right side
    2,970.02x = 7,588,378.13
  5. Step 5: Solve for x
    x = 7,588,378.13/2,970.02
  6. Step 6: Final answer
    x = 2,554.99

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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.