Home / 1,410.40-2,114.70-972.28

Finding the Fourth Proportional to 1,410.40, 2,114.70 and 972.28

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Solution

The fourth proportional to 1,410.40, 2,114.70 and 972.28 is: 1,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.40 : 2,114.70 = 972.28 : x
  2. Step 2: Convert to fraction form
    1,410.40/2,114.70 = 972.28/x
  3. Step 3: Cross multiply
    1,410.40x = 2,114.70 × 972.28
  4. Step 4: Simplify right side
    1,410.40x = 2,056,080.52
  5. Step 5: Solve for x
    x = 2,056,080.52/1,410.40
  6. Step 6: Final answer
    x = 1,457.80

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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.