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Finding the Fourth Proportional to 1,585.02, 2,188.01 and 1,090.21

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Solution

The fourth proportional to 1,585.02, 2,188.01 and 1,090.21 is: 1,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.02 : 2,188.01 = 1,090.21 : x
  2. Step 2: Convert to fraction form
    1,585.02/2,188.01 = 1,090.21/x
  3. Step 3: Cross multiply
    1,585.02x = 2,188.01 × 1,090.21
  4. Step 4: Simplify right side
    1,585.02x = 2,385,390.38
  5. Step 5: Solve for x
    x = 2,385,390.38/1,585.02
  6. Step 6: Final answer
    x = 1,504.96

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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.