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Finding the Fourth Proportional to 1,570.51, 2,167.06 and 907.24

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Solution

The fourth proportional to 1,570.51, 2,167.06 and 907.24 is: 1,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.51 : 2,167.06 = 907.24 : x
  2. Step 2: Convert to fraction form
    1,570.51/2,167.06 = 907.24/x
  3. Step 3: Cross multiply
    1,570.51x = 2,167.06 × 907.24
  4. Step 4: Simplify right side
    1,570.51x = 1,966,043.51
  5. Step 5: Solve for x
    x = 1,966,043.51/1,570.51
  6. Step 6: Final answer
    x = 1,251.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.