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Finding the Fourth Proportional to 1,620.98, 2,235.49 and 1,030.49

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Solution

The fourth proportional to 1,620.98, 2,235.49 and 1,030.49 is: 1,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.98 : 2,235.49 = 1,030.49 : x
  2. Step 2: Convert to fraction form
    1,620.98/2,235.49 = 1,030.49/x
  3. Step 3: Cross multiply
    1,620.98x = 2,235.49 × 1,030.49
  4. Step 4: Simplify right side
    1,620.98x = 2,303,636.34
  5. Step 5: Solve for x
    x = 2,303,636.34/1,620.98
  6. Step 6: Final answer
    x = 1,421.14

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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.