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Finding the Fourth Proportional to 1,677.53, 2,314.64 and 1,014.41

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Solution

The fourth proportional to 1,677.53, 2,314.64 and 1,014.41 is: 1,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.53 : 2,314.64 = 1,014.41 : x
  2. Step 2: Convert to fraction form
    1,677.53/2,314.64 = 1,014.41/x
  3. Step 3: Cross multiply
    1,677.53x = 2,314.64 × 1,014.41
  4. Step 4: Simplify right side
    1,677.53x = 2,347,977.32
  5. Step 5: Solve for x
    x = 2,347,977.32/1,677.53
  6. Step 6: Final answer
    x = 1,399.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.