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Finding the Fourth Proportional to 1,523.58, 2,106.63 and 1,453.50

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Solution

The fourth proportional to 1,523.58, 2,106.63 and 1,453.50 is: 2,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.58 : 2,106.63 = 1,453.50 : x
  2. Step 2: Convert to fraction form
    1,523.58/2,106.63 = 1,453.50/x
  3. Step 3: Cross multiply
    1,523.58x = 2,106.63 × 1,453.50
  4. Step 4: Simplify right side
    1,523.58x = 3,061,986.71
  5. Step 5: Solve for x
    x = 3,061,986.71/1,523.58
  6. Step 6: Final answer
    x = 2,009.73

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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.