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Finding the Fourth Proportional to 1,582.02, 2,373.90 and 594.80

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Solution

The fourth proportional to 1,582.02, 2,373.90 and 594.80 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.02 : 2,373.90 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,582.02/2,373.90 = 594.80/x
  3. Step 3: Cross multiply
    1,582.02x = 2,373.90 × 594.80
  4. Step 4: Simplify right side
    1,582.02x = 1,411,995.72
  5. Step 5: Solve for x
    x = 1,411,995.72/1,582.02
  6. Step 6: Final answer
    x = 892.53

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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.