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Finding the Fourth Proportional to 1,887.85, 2,603.40 and 1,467.46

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Solution

The fourth proportional to 1,887.85, 2,603.40 and 1,467.46 is: 2,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.85 : 2,603.40 = 1,467.46 : x
  2. Step 2: Convert to fraction form
    1,887.85/2,603.40 = 1,467.46/x
  3. Step 3: Cross multiply
    1,887.85x = 2,603.40 × 1,467.46
  4. Step 4: Simplify right side
    1,887.85x = 3,820,385.36
  5. Step 5: Solve for x
    x = 3,820,385.36/1,887.85
  6. Step 6: Final answer
    x = 2,023.67

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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.