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Finding the Fourth Proportional to 2,384.81, 3,291.32 and 1,500.59

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Solution

The fourth proportional to 2,384.81, 3,291.32 and 1,500.59 is: 2,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.81 : 3,291.32 = 1,500.59 : x
  2. Step 2: Convert to fraction form
    2,384.81/3,291.32 = 1,500.59/x
  3. Step 3: Cross multiply
    2,384.81x = 3,291.32 × 1,500.59
  4. Step 4: Simplify right side
    2,384.81x = 4,938,933.86
  5. Step 5: Solve for x
    x = 4,938,933.86/2,384.81
  6. Step 6: Final answer
    x = 2,071.00

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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.