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Finding the Fourth Proportional to 2,574.19, 3,866.45 and 1,536.22

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Solution

The fourth proportional to 2,574.19, 3,866.45 and 1,536.22 is: 2,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.19 : 3,866.45 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    2,574.19/3,866.45 = 1,536.22/x
  3. Step 3: Cross multiply
    2,574.19x = 3,866.45 × 1,536.22
  4. Step 4: Simplify right side
    2,574.19x = 5,939,690.81
  5. Step 5: Solve for x
    x = 5,939,690.81/2,574.19
  6. Step 6: Final answer
    x = 2,307.41

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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.