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Finding the Fourth Proportional to 1,490.15, 2,055.77 and 900.34

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Solution

The fourth proportional to 1,490.15, 2,055.77 and 900.34 is: 1,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.15 : 2,055.77 = 900.34 : x
  2. Step 2: Convert to fraction form
    1,490.15/2,055.77 = 900.34/x
  3. Step 3: Cross multiply
    1,490.15x = 2,055.77 × 900.34
  4. Step 4: Simplify right side
    1,490.15x = 1,850,895.17
  5. Step 5: Solve for x
    x = 1,850,895.17/1,490.15
  6. Step 6: Final answer
    x = 1,242.09

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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.