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Finding the Fourth Proportional to 1,210.40, 1,801.14 and 1,206.30

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Solution

The fourth proportional to 1,210.40, 1,801.14 and 1,206.30 is: 1,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.40 : 1,801.14 = 1,206.30 : x
  2. Step 2: Convert to fraction form
    1,210.40/1,801.14 = 1,206.30/x
  3. Step 3: Cross multiply
    1,210.40x = 1,801.14 × 1,206.30
  4. Step 4: Simplify right side
    1,210.40x = 2,172,715.18
  5. Step 5: Solve for x
    x = 2,172,715.18/1,210.40
  6. Step 6: Final answer
    x = 1,795.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.