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Finding the Fourth Proportional to 1,575.09, 2,361.26 and 924.45

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Solution

The fourth proportional to 1,575.09, 2,361.26 and 924.45 is: 1,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.09 : 2,361.26 = 924.45 : x
  2. Step 2: Convert to fraction form
    1,575.09/2,361.26 = 924.45/x
  3. Step 3: Cross multiply
    1,575.09x = 2,361.26 × 924.45
  4. Step 4: Simplify right side
    1,575.09x = 2,182,866.81
  5. Step 5: Solve for x
    x = 2,182,866.81/1,575.09
  6. Step 6: Final answer
    x = 1,385.87

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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.