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Finding the Fourth Proportional to 1,417.48, 1,954.24 and 974.60

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Solution

The fourth proportional to 1,417.48, 1,954.24 and 974.60 is: 1,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.48 : 1,954.24 = 974.60 : x
  2. Step 2: Convert to fraction form
    1,417.48/1,954.24 = 974.60/x
  3. Step 3: Cross multiply
    1,417.48x = 1,954.24 × 974.60
  4. Step 4: Simplify right side
    1,417.48x = 1,904,602.30
  5. Step 5: Solve for x
    x = 1,904,602.30/1,417.48
  6. Step 6: Final answer
    x = 1,343.65

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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.