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Finding the Fourth Proportional to 1,570.86, 2,354.94 and 1,050.84

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Solution

The fourth proportional to 1,570.86, 2,354.94 and 1,050.84 is: 1,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.86 : 2,354.94 = 1,050.84 : x
  2. Step 2: Convert to fraction form
    1,570.86/2,354.94 = 1,050.84/x
  3. Step 3: Cross multiply
    1,570.86x = 2,354.94 × 1,050.84
  4. Step 4: Simplify right side
    1,570.86x = 2,474,665.15
  5. Step 5: Solve for x
    x = 2,474,665.15/1,570.86
  6. Step 6: Final answer
    x = 1,575.36

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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.