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Finding the Fourth Proportional to 1,458.81, 2,014.47 and 1,356.75

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Solution

The fourth proportional to 1,458.81, 2,014.47 and 1,356.75 is: 1,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.81 : 2,014.47 = 1,356.75 : x
  2. Step 2: Convert to fraction form
    1,458.81/2,014.47 = 1,356.75/x
  3. Step 3: Cross multiply
    1,458.81x = 2,014.47 × 1,356.75
  4. Step 4: Simplify right side
    1,458.81x = 2,733,132.17
  5. Step 5: Solve for x
    x = 2,733,132.17/1,458.81
  6. Step 6: Final answer
    x = 1,873.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.