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Finding the Fourth Proportional to 1,570.67, 2,167.47 and 907.50

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Solution

The fourth proportional to 1,570.67, 2,167.47 and 907.50 is: 1,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.67 : 2,167.47 = 907.50 : x
  2. Step 2: Convert to fraction form
    1,570.67/2,167.47 = 907.50/x
  3. Step 3: Cross multiply
    1,570.67x = 2,167.47 × 907.50
  4. Step 4: Simplify right side
    1,570.67x = 1,966,979.03
  5. Step 5: Solve for x
    x = 1,966,979.03/1,570.67
  6. Step 6: Final answer
    x = 1,252.32

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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.