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Finding the Fourth Proportional to 2,554.42, 3,525.02 and 1,420.02

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Solution

The fourth proportional to 2,554.42, 3,525.02 and 1,420.02 is: 1,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.42 : 3,525.02 = 1,420.02 : x
  2. Step 2: Convert to fraction form
    2,554.42/3,525.02 = 1,420.02/x
  3. Step 3: Cross multiply
    2,554.42x = 3,525.02 × 1,420.02
  4. Step 4: Simplify right side
    2,554.42x = 5,005,598.90
  5. Step 5: Solve for x
    x = 5,005,598.90/2,554.42
  6. Step 6: Final answer
    x = 1,959.58

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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.