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Finding the Fourth Proportional to 2,045.04, 2,822.16 and 1,113.60

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Solution

The fourth proportional to 2,045.04, 2,822.16 and 1,113.60 is: 1,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.04 : 2,822.16 = 1,113.60 : x
  2. Step 2: Convert to fraction form
    2,045.04/2,822.16 = 1,113.60/x
  3. Step 3: Cross multiply
    2,045.04x = 2,822.16 × 1,113.60
  4. Step 4: Simplify right side
    2,045.04x = 3,142,757.38
  5. Step 5: Solve for x
    x = 3,142,757.38/2,045.04
  6. Step 6: Final answer
    x = 1,536.77

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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.