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Finding the Fourth Proportional to 1,537.79, 2,300.86 and 942.69

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Solution

The fourth proportional to 1,537.79, 2,300.86 and 942.69 is: 1,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.79 : 2,300.86 = 942.69 : x
  2. Step 2: Convert to fraction form
    1,537.79/2,300.86 = 942.69/x
  3. Step 3: Cross multiply
    1,537.79x = 2,300.86 × 942.69
  4. Step 4: Simplify right side
    1,537.79x = 2,168,989.28
  5. Step 5: Solve for x
    x = 2,168,989.28/1,537.79
  6. Step 6: Final answer
    x = 1,410.46

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