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Finding the Fourth Proportional to 2,681.00, 4,020.64 and 2,506.08

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Solution

The fourth proportional to 2,681.00, 4,020.64 and 2,506.08 is: 3,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.00 : 4,020.64 = 2,506.08 : x
  2. Step 2: Convert to fraction form
    2,681.00/4,020.64 = 2,506.08/x
  3. Step 3: Cross multiply
    2,681.00x = 4,020.64 × 2,506.08
  4. Step 4: Simplify right side
    2,681.00x = 10,076,068.40
  5. Step 5: Solve for x
    x = 10,076,068.40/2,681.00
  6. Step 6: Final answer
    x = 3,758.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.