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Finding the Fourth Proportional to 1,735.55, 2,598.71 and 1,356.51

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Solution

The fourth proportional to 1,735.55, 2,598.71 and 1,356.51 is: 2,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.55 : 2,598.71 = 1,356.51 : x
  2. Step 2: Convert to fraction form
    1,735.55/2,598.71 = 1,356.51/x
  3. Step 3: Cross multiply
    1,735.55x = 2,598.71 × 1,356.51
  4. Step 4: Simplify right side
    1,735.55x = 3,525,169.32
  5. Step 5: Solve for x
    x = 3,525,169.32/1,735.55
  6. Step 6: Final answer
    x = 2,031.16

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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.