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Finding the Fourth Proportional to 2,656.58, 3,666.02 and 1,506.68

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Solution

The fourth proportional to 2,656.58, 3,666.02 and 1,506.68 is: 2,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.58 : 3,666.02 = 1,506.68 : x
  2. Step 2: Convert to fraction form
    2,656.58/3,666.02 = 1,506.68/x
  3. Step 3: Cross multiply
    2,656.58x = 3,666.02 × 1,506.68
  4. Step 4: Simplify right side
    2,656.58x = 5,523,519.01
  5. Step 5: Solve for x
    x = 5,523,519.01/2,656.58
  6. Step 6: Final answer
    x = 2,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.