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Finding the Fourth Proportional to 1,582.29, 2,373.74 and 657.35

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Solution

The fourth proportional to 1,582.29, 2,373.74 and 657.35 is: 986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.29 : 2,373.74 = 657.35 : x
  2. Step 2: Convert to fraction form
    1,582.29/2,373.74 = 657.35/x
  3. Step 3: Cross multiply
    1,582.29x = 2,373.74 × 657.35
  4. Step 4: Simplify right side
    1,582.29x = 1,560,362.83
  5. Step 5: Solve for x
    x = 1,560,362.83/1,582.29
  6. Step 6: Final answer
    x = 986.14

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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.