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Finding the Fourth Proportional to 1,770.04, 2,655.19 and 846.01

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Solution

The fourth proportional to 1,770.04, 2,655.19 and 846.01 is: 1,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.04 : 2,655.19 = 846.01 : x
  2. Step 2: Convert to fraction form
    1,770.04/2,655.19 = 846.01/x
  3. Step 3: Cross multiply
    1,770.04x = 2,655.19 × 846.01
  4. Step 4: Simplify right side
    1,770.04x = 2,246,311.71
  5. Step 5: Solve for x
    x = 2,246,311.71/1,770.04
  6. Step 6: Final answer
    x = 1,269.08

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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.