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Finding the Fourth Proportional to 1,343.57, 2,016.53 and 933

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Solution

The fourth proportional to 1,343.57, 2,016.53 and 933 is: 1,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.57 : 2,016.53 = 933 : x
  2. Step 2: Convert to fraction form
    1,343.57/2,016.53 = 933/x
  3. Step 3: Cross multiply
    1,343.57x = 2,016.53 × 933
  4. Step 4: Simplify right side
    1,343.57x = 1,881,417.83
  5. Step 5: Solve for x
    x = 1,881,417.83/1,343.57
  6. Step 6: Final answer
    x = 1,400.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.