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Finding the Fourth Proportional to 1,803.09, 2,488.60 and 1,432.90

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Solution

The fourth proportional to 1,803.09, 2,488.60 and 1,432.90 is: 1,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.09 : 2,488.60 = 1,432.90 : x
  2. Step 2: Convert to fraction form
    1,803.09/2,488.60 = 1,432.90/x
  3. Step 3: Cross multiply
    1,803.09x = 2,488.60 × 1,432.90
  4. Step 4: Simplify right side
    1,803.09x = 3,565,914.94
  5. Step 5: Solve for x
    x = 3,565,914.94/1,803.09
  6. Step 6: Final answer
    x = 1,977.67

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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.