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Finding the Fourth Proportional to 1,642.48, 2,455.80 and 1,603.60

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Solution

The fourth proportional to 1,642.48, 2,455.80 and 1,603.60 is: 2,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.48 : 2,455.80 = 1,603.60 : x
  2. Step 2: Convert to fraction form
    1,642.48/2,455.80 = 1,603.60/x
  3. Step 3: Cross multiply
    1,642.48x = 2,455.80 × 1,603.60
  4. Step 4: Simplify right side
    1,642.48x = 3,938,120.88
  5. Step 5: Solve for x
    x = 3,938,120.88/1,642.48
  6. Step 6: Final answer
    x = 2,397.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.