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Finding the Fourth Proportional to 1,270.34, 1,900.75 and 1,051.07

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Solution

The fourth proportional to 1,270.34, 1,900.75 and 1,051.07 is: 1,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.34 : 1,900.75 = 1,051.07 : x
  2. Step 2: Convert to fraction form
    1,270.34/1,900.75 = 1,051.07/x
  3. Step 3: Cross multiply
    1,270.34x = 1,900.75 × 1,051.07
  4. Step 4: Simplify right side
    1,270.34x = 1,997,824.74
  5. Step 5: Solve for x
    x = 1,997,824.74/1,270.34
  6. Step 6: Final answer
    x = 1,572.67

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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.