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Finding the Fourth Proportional to 1,701.19, 2,550 and 1,153.40

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Solution

The fourth proportional to 1,701.19, 2,550 and 1,153.40 is: 1,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.19 : 2,550 = 1,153.40 : x
  2. Step 2: Convert to fraction form
    1,701.19/2,550 = 1,153.40/x
  3. Step 3: Cross multiply
    1,701.19x = 2,550 × 1,153.40
  4. Step 4: Simplify right side
    1,701.19x = 2,941,170
  5. Step 5: Solve for x
    x = 2,941,170/1,701.19
  6. Step 6: Final answer
    x = 1,728.89

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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.