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Finding the Fourth Proportional to 1,501.39, 2,071.71 and 838.16

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Solution

The fourth proportional to 1,501.39, 2,071.71 and 838.16 is: 1,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.39 : 2,071.71 = 838.16 : x
  2. Step 2: Convert to fraction form
    1,501.39/2,071.71 = 838.16/x
  3. Step 3: Cross multiply
    1,501.39x = 2,071.71 × 838.16
  4. Step 4: Simplify right side
    1,501.39x = 1,736,414.10
  5. Step 5: Solve for x
    x = 1,736,414.10/1,501.39
  6. Step 6: Final answer
    x = 1,156.54

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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.