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Finding the Fourth Proportional to 1,575.48, 2,365.92 and 1,506.23

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Solution

The fourth proportional to 1,575.48, 2,365.92 and 1,506.23 is: 2,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.48 : 2,365.92 = 1,506.23 : x
  2. Step 2: Convert to fraction form
    1,575.48/2,365.92 = 1,506.23/x
  3. Step 3: Cross multiply
    1,575.48x = 2,365.92 × 1,506.23
  4. Step 4: Simplify right side
    1,575.48x = 3,563,607.85
  5. Step 5: Solve for x
    x = 3,563,607.85/1,575.48
  6. Step 6: Final answer
    x = 2,261.92

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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.