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Finding the Fourth Proportional to 1,841.64, 2,541.45 and 1,002.34

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Solution

The fourth proportional to 1,841.64, 2,541.45 and 1,002.34 is: 1,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.64 : 2,541.45 = 1,002.34 : x
  2. Step 2: Convert to fraction form
    1,841.64/2,541.45 = 1,002.34/x
  3. Step 3: Cross multiply
    1,841.64x = 2,541.45 × 1,002.34
  4. Step 4: Simplify right side
    1,841.64x = 2,547,394.40
  5. Step 5: Solve for x
    x = 2,547,394.40/1,841.64
  6. Step 6: Final answer
    x = 1,383.22

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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.