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Finding the Fourth Proportional to 1,678.63, 2,515.95 and 1,266.40

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Solution

The fourth proportional to 1,678.63, 2,515.95 and 1,266.40 is: 1,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.63 : 2,515.95 = 1,266.40 : x
  2. Step 2: Convert to fraction form
    1,678.63/2,515.95 = 1,266.40/x
  3. Step 3: Cross multiply
    1,678.63x = 2,515.95 × 1,266.40
  4. Step 4: Simplify right side
    1,678.63x = 3,186,199.08
  5. Step 5: Solve for x
    x = 3,186,199.08/1,678.63
  6. Step 6: Final answer
    x = 1,898.09

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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.