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Finding the Fourth Proportional to 1,587.21, 2,381.07 and 491.32

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Solution

The fourth proportional to 1,587.21, 2,381.07 and 491.32 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.21 : 2,381.07 = 491.32 : x
  2. Step 2: Convert to fraction form
    1,587.21/2,381.07 = 491.32/x
  3. Step 3: Cross multiply
    1,587.21x = 2,381.07 × 491.32
  4. Step 4: Simplify right side
    1,587.21x = 1,169,852.95
  5. Step 5: Solve for x
    x = 1,169,852.95/1,587.21
  6. Step 6: Final answer
    x = 737.05

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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.