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Finding the Fourth Proportional to 1,582.50, 2,373.77 and 608.48

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Solution

The fourth proportional to 1,582.50, 2,373.77 and 608.48 is: 912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.50 : 2,373.77 = 608.48 : x
  2. Step 2: Convert to fraction form
    1,582.50/2,373.77 = 608.48/x
  3. Step 3: Cross multiply
    1,582.50x = 2,373.77 × 608.48
  4. Step 4: Simplify right side
    1,582.50x = 1,444,381.22
  5. Step 5: Solve for x
    x = 1,444,381.22/1,582.50
  6. Step 6: Final answer
    x = 912.72

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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.