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Finding the Fourth Proportional to 1,751.50, 2,417.10 and 1,131.58

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Solution

The fourth proportional to 1,751.50, 2,417.10 and 1,131.58 is: 1,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.50 : 2,417.10 = 1,131.58 : x
  2. Step 2: Convert to fraction form
    1,751.50/2,417.10 = 1,131.58/x
  3. Step 3: Cross multiply
    1,751.50x = 2,417.10 × 1,131.58
  4. Step 4: Simplify right side
    1,751.50x = 2,735,142.02
  5. Step 5: Solve for x
    x = 2,735,142.02/1,751.50
  6. Step 6: Final answer
    x = 1,561.60

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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.