Home / 1,410.32-2,113.02-977.76

Finding the Fourth Proportional to 1,410.32, 2,113.02 and 977.76

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Solution

The fourth proportional to 1,410.32, 2,113.02 and 977.76 is: 1,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.32 : 2,113.02 = 977.76 : x
  2. Step 2: Convert to fraction form
    1,410.32/2,113.02 = 977.76/x
  3. Step 3: Cross multiply
    1,410.32x = 2,113.02 × 977.76
  4. Step 4: Simplify right side
    1,410.32x = 2,066,026.44
  5. Step 5: Solve for x
    x = 2,066,026.44/1,410.32
  6. Step 6: Final answer
    x = 1,464.93

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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.