Home / 1,564.46-2,345.51-948.01

Finding the Fourth Proportional to 1,564.46, 2,345.51 and 948.01

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Solution

The fourth proportional to 1,564.46, 2,345.51 and 948.01 is: 1,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.46 : 2,345.51 = 948.01 : x
  2. Step 2: Convert to fraction form
    1,564.46/2,345.51 = 948.01/x
  3. Step 3: Cross multiply
    1,564.46x = 2,345.51 × 948.01
  4. Step 4: Simplify right side
    1,564.46x = 2,223,566.94
  5. Step 5: Solve for x
    x = 2,223,566.94/1,564.46
  6. Step 6: Final answer
    x = 1,421.30

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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.