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Finding the Fourth Proportional to 1,901.01, 2,624.58 and 1,458.06

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Solution

The fourth proportional to 1,901.01, 2,624.58 and 1,458.06 is: 2,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.01 : 2,624.58 = 1,458.06 : x
  2. Step 2: Convert to fraction form
    1,901.01/2,624.58 = 1,458.06/x
  3. Step 3: Cross multiply
    1,901.01x = 2,624.58 × 1,458.06
  4. Step 4: Simplify right side
    1,901.01x = 3,826,795.11
  5. Step 5: Solve for x
    x = 3,826,795.11/1,901.01
  6. Step 6: Final answer
    x = 2,013.03

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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.