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Finding the Fourth Proportional to 1,609.32, 2,415.02 and 840.36

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Solution

The fourth proportional to 1,609.32, 2,415.02 and 840.36 is: 1,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.32 : 2,415.02 = 840.36 : x
  2. Step 2: Convert to fraction form
    1,609.32/2,415.02 = 840.36/x
  3. Step 3: Cross multiply
    1,609.32x = 2,415.02 × 840.36
  4. Step 4: Simplify right side
    1,609.32x = 2,029,486.21
  5. Step 5: Solve for x
    x = 2,029,486.21/1,609.32
  6. Step 6: Final answer
    x = 1,261.08

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