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Finding the Fourth Proportional to 1,357.76, 2,034.25 and 946.10

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Solution

The fourth proportional to 1,357.76, 2,034.25 and 946.10 is: 1,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.76 : 2,034.25 = 946.10 : x
  2. Step 2: Convert to fraction form
    1,357.76/2,034.25 = 946.10/x
  3. Step 3: Cross multiply
    1,357.76x = 2,034.25 × 946.10
  4. Step 4: Simplify right side
    1,357.76x = 1,924,606.65
  5. Step 5: Solve for x
    x = 1,924,606.65/1,357.76
  6. Step 6: Final answer
    x = 1,417.48

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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.