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Finding the Fourth Proportional to 2,140.30, 3,210.46 and 907.40

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Solution

The fourth proportional to 2,140.30, 3,210.46 and 907.40 is: 1,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.30 : 3,210.46 = 907.40 : x
  2. Step 2: Convert to fraction form
    2,140.30/3,210.46 = 907.40/x
  3. Step 3: Cross multiply
    2,140.30x = 3,210.46 × 907.40
  4. Step 4: Simplify right side
    2,140.30x = 2,913,171.40
  5. Step 5: Solve for x
    x = 2,913,171.40/2,140.30
  6. Step 6: Final answer
    x = 1,361.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.