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Finding the Fourth Proportional to 2,032.34, 2,804.45 and 1,148.18

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Solution

The fourth proportional to 2,032.34, 2,804.45 and 1,148.18 is: 1,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.34 : 2,804.45 = 1,148.18 : x
  2. Step 2: Convert to fraction form
    2,032.34/2,804.45 = 1,148.18/x
  3. Step 3: Cross multiply
    2,032.34x = 2,804.45 × 1,148.18
  4. Step 4: Simplify right side
    2,032.34x = 3,220,013.40
  5. Step 5: Solve for x
    x = 3,220,013.40/2,032.34
  6. Step 6: Final answer
    x = 1,584.39

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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.