Home / 1,564.29-2,346.43-1,270.40

Finding the Fourth Proportional to 1,564.29, 2,346.43 and 1,270.40

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Solution

The fourth proportional to 1,564.29, 2,346.43 and 1,270.40 is: 1,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.29 : 2,346.43 = 1,270.40 : x
  2. Step 2: Convert to fraction form
    1,564.29/2,346.43 = 1,270.40/x
  3. Step 3: Cross multiply
    1,564.29x = 2,346.43 × 1,270.40
  4. Step 4: Simplify right side
    1,564.29x = 2,980,897.23
  5. Step 5: Solve for x
    x = 2,980,897.23/1,564.29
  6. Step 6: Final answer
    x = 1,905.59

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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.