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Finding the Fourth Proportional to 1,559.06, 2,338.53 and 389.06

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Solution

The fourth proportional to 1,559.06, 2,338.53 and 389.06 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.06 : 2,338.53 = 389.06 : x
  2. Step 2: Convert to fraction form
    1,559.06/2,338.53 = 389.06/x
  3. Step 3: Cross multiply
    1,559.06x = 2,338.53 × 389.06
  4. Step 4: Simplify right side
    1,559.06x = 909,828.48
  5. Step 5: Solve for x
    x = 909,828.48/1,559.06
  6. Step 6: Final answer
    x = 583.58

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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.