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Finding the Fourth Proportional to 1,506.67, 2,259.65 and 581.92

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Solution

The fourth proportional to 1,506.67, 2,259.65 and 581.92 is: 872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.67 : 2,259.65 = 581.92 : x
  2. Step 2: Convert to fraction form
    1,506.67/2,259.65 = 581.92/x
  3. Step 3: Cross multiply
    1,506.67x = 2,259.65 × 581.92
  4. Step 4: Simplify right side
    1,506.67x = 1,314,931.33
  5. Step 5: Solve for x
    x = 1,314,931.33/1,506.67
  6. Step 6: Final answer
    x = 872.74

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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.