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Finding the Fourth Proportional to 3,065.70, 4,595.96 and 1,421.40

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Solution

The fourth proportional to 3,065.70, 4,595.96 and 1,421.40 is: 2,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.70 : 4,595.96 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    3,065.70/4,595.96 = 1,421.40/x
  3. Step 3: Cross multiply
    3,065.70x = 4,595.96 × 1,421.40
  4. Step 4: Simplify right side
    3,065.70x = 6,532,697.54
  5. Step 5: Solve for x
    x = 6,532,697.54/3,065.70
  6. Step 6: Final answer
    x = 2,130.90

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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.