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Finding the Fourth Proportional to 1,458.63, 2,011.10 and 1,177.83

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Solution

The fourth proportional to 1,458.63, 2,011.10 and 1,177.83 is: 1,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.63 : 2,011.10 = 1,177.83 : x
  2. Step 2: Convert to fraction form
    1,458.63/2,011.10 = 1,177.83/x
  3. Step 3: Cross multiply
    1,458.63x = 2,011.10 × 1,177.83
  4. Step 4: Simplify right side
    1,458.63x = 2,368,728.02
  5. Step 5: Solve for x
    x = 2,368,728.02/1,458.63
  6. Step 6: Final answer
    x = 1,623.94

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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.