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Finding the Fourth Proportional to 1,501.23, 2,071.60 and 837.95

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Solution

The fourth proportional to 1,501.23, 2,071.60 and 837.95 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.23 : 2,071.60 = 837.95 : x
  2. Step 2: Convert to fraction form
    1,501.23/2,071.60 = 837.95/x
  3. Step 3: Cross multiply
    1,501.23x = 2,071.60 × 837.95
  4. Step 4: Simplify right side
    1,501.23x = 1,735,892.54
  5. Step 5: Solve for x
    x = 1,735,892.54/1,501.23
  6. Step 6: Final answer
    x = 1,156.32

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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.