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Finding the Fourth Proportional to 1,602.06, 2,210.04 and 1,042.44

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Solution

The fourth proportional to 1,602.06, 2,210.04 and 1,042.44 is: 1,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.06 : 2,210.04 = 1,042.44 : x
  2. Step 2: Convert to fraction form
    1,602.06/2,210.04 = 1,042.44/x
  3. Step 3: Cross multiply
    1,602.06x = 2,210.04 × 1,042.44
  4. Step 4: Simplify right side
    1,602.06x = 2,303,834.10
  5. Step 5: Solve for x
    x = 2,303,834.10/1,602.06
  6. Step 6: Final answer
    x = 1,438.04

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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.