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Finding the Fourth Proportional to 4,030.14, 6,043.02 and 1,256.06

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Solution

The fourth proportional to 4,030.14, 6,043.02 and 1,256.06 is: 1,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.14 : 6,043.02 = 1,256.06 : x
  2. Step 2: Convert to fraction form
    4,030.14/6,043.02 = 1,256.06/x
  3. Step 3: Cross multiply
    4,030.14x = 6,043.02 × 1,256.06
  4. Step 4: Simplify right side
    4,030.14x = 7,590,395.70
  5. Step 5: Solve for x
    x = 7,590,395.70/4,030.14
  6. Step 6: Final answer
    x = 1,883.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.