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Finding the Fourth Proportional to 1,570.32, 2,340.36 and 1,567.89

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Solution

The fourth proportional to 1,570.32, 2,340.36 and 1,567.89 is: 2,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.32 : 2,340.36 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    1,570.32/2,340.36 = 1,567.89/x
  3. Step 3: Cross multiply
    1,570.32x = 2,340.36 × 1,567.89
  4. Step 4: Simplify right side
    1,570.32x = 3,669,427.04
  5. Step 5: Solve for x
    x = 3,669,427.04/1,570.32
  6. Step 6: Final answer
    x = 2,336.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.