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Finding the Fourth Proportional to 1,582.35, 2,373.75 and 486.87

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Solution

The fourth proportional to 1,582.35, 2,373.75 and 486.87 is: 730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.35 : 2,373.75 = 486.87 : x
  2. Step 2: Convert to fraction form
    1,582.35/2,373.75 = 486.87/x
  3. Step 3: Cross multiply
    1,582.35x = 2,373.75 × 486.87
  4. Step 4: Simplify right side
    1,582.35x = 1,155,707.66
  5. Step 5: Solve for x
    x = 1,155,707.66/1,582.35
  6. Step 6: Final answer
    x = 730.37

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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.