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Finding the Fourth Proportional to 2,140.08, 3,210.47 and 907.50

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Solution

The fourth proportional to 2,140.08, 3,210.47 and 907.50 is: 1,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.08 : 3,210.47 = 907.50 : x
  2. Step 2: Convert to fraction form
    2,140.08/3,210.47 = 907.50/x
  3. Step 3: Cross multiply
    2,140.08x = 3,210.47 × 907.50
  4. Step 4: Simplify right side
    2,140.08x = 2,913,516.26
  5. Step 5: Solve for x
    x = 2,913,516.26/2,140.08
  6. Step 6: Final answer
    x = 1,361.40

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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.