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Finding the Fourth Proportional to 1,602.40, 2,211.60 and 1,080.16

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Solution

The fourth proportional to 1,602.40, 2,211.60 and 1,080.16 is: 1,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.40 : 2,211.60 = 1,080.16 : x
  2. Step 2: Convert to fraction form
    1,602.40/2,211.60 = 1,080.16/x
  3. Step 3: Cross multiply
    1,602.40x = 2,211.60 × 1,080.16
  4. Step 4: Simplify right side
    1,602.40x = 2,388,881.86
  5. Step 5: Solve for x
    x = 2,388,881.86/1,602.40
  6. Step 6: Final answer
    x = 1,490.81

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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.