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Finding the Fourth Proportional to 2,851.66, 3,931.50 and 2,560.06

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Solution

The fourth proportional to 2,851.66, 3,931.50 and 2,560.06 is: 3,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.66 : 3,931.50 = 2,560.06 : x
  2. Step 2: Convert to fraction form
    2,851.66/3,931.50 = 2,560.06/x
  3. Step 3: Cross multiply
    2,851.66x = 3,931.50 × 2,560.06
  4. Step 4: Simplify right side
    2,851.66x = 10,064,875.89
  5. Step 5: Solve for x
    x = 10,064,875.89/2,851.66
  6. Step 6: Final answer
    x = 3,529.48

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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.