Home / 1,607.03-2,407.13-948.20

Finding the Fourth Proportional to 1,607.03, 2,407.13 and 948.20

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Solution

The fourth proportional to 1,607.03, 2,407.13 and 948.20 is: 1,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.03 : 2,407.13 = 948.20 : x
  2. Step 2: Convert to fraction form
    1,607.03/2,407.13 = 948.20/x
  3. Step 3: Cross multiply
    1,607.03x = 2,407.13 × 948.20
  4. Step 4: Simplify right side
    1,607.03x = 2,282,423.89
  5. Step 5: Solve for x
    x = 2,282,423.89/1,607.03
  6. Step 6: Final answer
    x = 1,420.27

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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.