Home / 1,564.40-2,346.60-948.28

Finding the Fourth Proportional to 1,564.40, 2,346.60 and 948.28

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Solution

The fourth proportional to 1,564.40, 2,346.60 and 948.28 is: 1,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,346.60 = 948.28 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,346.60 = 948.28/x
  3. Step 3: Cross multiply
    1,564.40x = 2,346.60 × 948.28
  4. Step 4: Simplify right side
    1,564.40x = 2,225,239.71
  5. Step 5: Solve for x
    x = 2,225,239.71/1,564.40
  6. Step 6: Final answer
    x = 1,422.42

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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.