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Finding the Fourth Proportional to 1,582.76, 2,373.82 and 608.64

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Solution

The fourth proportional to 1,582.76, 2,373.82 and 608.64 is: 912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.76 : 2,373.82 = 608.64 : x
  2. Step 2: Convert to fraction form
    1,582.76/2,373.82 = 608.64/x
  3. Step 3: Cross multiply
    1,582.76x = 2,373.82 × 608.64
  4. Step 4: Simplify right side
    1,582.76x = 1,444,801.80
  5. Step 5: Solve for x
    x = 1,444,801.80/1,582.76
  6. Step 6: Final answer
    x = 912.84

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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.