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Finding the Fourth Proportional to 1,566.02, 2,349.04 and 1,077.60

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Solution

The fourth proportional to 1,566.02, 2,349.04 and 1,077.60 is: 1,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.02 : 2,349.04 = 1,077.60 : x
  2. Step 2: Convert to fraction form
    1,566.02/2,349.04 = 1,077.60/x
  3. Step 3: Cross multiply
    1,566.02x = 2,349.04 × 1,077.60
  4. Step 4: Simplify right side
    1,566.02x = 2,531,325.50
  5. Step 5: Solve for x
    x = 2,531,325.50/1,566.02
  6. Step 6: Final answer
    x = 1,616.41

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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.