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Finding the Fourth Proportional to 2,017.01, 3,025.48 and 977.10

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Solution

The fourth proportional to 2,017.01, 3,025.48 and 977.10 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.01 : 3,025.48 = 977.10 : x
  2. Step 2: Convert to fraction form
    2,017.01/3,025.48 = 977.10/x
  3. Step 3: Cross multiply
    2,017.01x = 3,025.48 × 977.10
  4. Step 4: Simplify right side
    2,017.01x = 2,956,196.51
  5. Step 5: Solve for x
    x = 2,956,196.51/2,017.01
  6. Step 6: Final answer
    x = 1,465.63

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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.