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Finding the Fourth Proportional to 1,712.50, 2,364.52 and 1,050.26

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Solution

The fourth proportional to 1,712.50, 2,364.52 and 1,050.26 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.50 : 2,364.52 = 1,050.26 : x
  2. Step 2: Convert to fraction form
    1,712.50/2,364.52 = 1,050.26/x
  3. Step 3: Cross multiply
    1,712.50x = 2,364.52 × 1,050.26
  4. Step 4: Simplify right side
    1,712.50x = 2,483,360.78
  5. Step 5: Solve for x
    x = 2,483,360.78/1,712.50
  6. Step 6: Final answer
    x = 1,450.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.