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Finding the Fourth Proportional to 1,602.04, 2,210.97 and 903.46

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Solution

The fourth proportional to 1,602.04, 2,210.97 and 903.46 is: 1,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.04 : 2,210.97 = 903.46 : x
  2. Step 2: Convert to fraction form
    1,602.04/2,210.97 = 903.46/x
  3. Step 3: Cross multiply
    1,602.04x = 2,210.97 × 903.46
  4. Step 4: Simplify right side
    1,602.04x = 1,997,522.96
  5. Step 5: Solve for x
    x = 1,997,522.96/1,602.04
  6. Step 6: Final answer
    x = 1,246.86

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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.