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Finding the Fourth Proportional to 1,570.58, 2,167.29 and 907.31

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Solution

The fourth proportional to 1,570.58, 2,167.29 and 907.31 is: 1,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.58 : 2,167.29 = 907.31 : x
  2. Step 2: Convert to fraction form
    1,570.58/2,167.29 = 907.31/x
  3. Step 3: Cross multiply
    1,570.58x = 2,167.29 × 907.31
  4. Step 4: Simplify right side
    1,570.58x = 1,966,403.89
  5. Step 5: Solve for x
    x = 1,966,403.89/1,570.58
  6. Step 6: Final answer
    x = 1,252.02

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