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Finding the Fourth Proportional to 1,515.08, 2,271.90 and 865.64

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Solution

The fourth proportional to 1,515.08, 2,271.90 and 865.64 is: 1,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.08 : 2,271.90 = 865.64 : x
  2. Step 2: Convert to fraction form
    1,515.08/2,271.90 = 865.64/x
  3. Step 3: Cross multiply
    1,515.08x = 2,271.90 × 865.64
  4. Step 4: Simplify right side
    1,515.08x = 1,966,647.52
  5. Step 5: Solve for x
    x = 1,966,647.52/1,515.08
  6. Step 6: Final answer
    x = 1,298.05

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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.