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Finding the Fourth Proportional to 1,901.34, 2,624.54 and 1,458.68

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Solution

The fourth proportional to 1,901.34, 2,624.54 and 1,458.68 is: 2,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.34 : 2,624.54 = 1,458.68 : x
  2. Step 2: Convert to fraction form
    1,901.34/2,624.54 = 1,458.68/x
  3. Step 3: Cross multiply
    1,901.34x = 2,624.54 × 1,458.68
  4. Step 4: Simplify right side
    1,901.34x = 3,828,343.59
  5. Step 5: Solve for x
    x = 3,828,343.59/1,901.34
  6. Step 6: Final answer
    x = 2,013.50

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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.