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Finding the Fourth Proportional to 1,587.35, 2,381.54 and 491.93

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Solution

The fourth proportional to 1,587.35, 2,381.54 and 491.93 is: 738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.35 : 2,381.54 = 491.93 : x
  2. Step 2: Convert to fraction form
    1,587.35/2,381.54 = 491.93/x
  3. Step 3: Cross multiply
    1,587.35x = 2,381.54 × 491.93
  4. Step 4: Simplify right side
    1,587.35x = 1,171,548.51
  5. Step 5: Solve for x
    x = 1,171,548.51/1,587.35
  6. Step 6: Final answer
    x = 738.05

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Why These Related Problems?

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