Home / 1,497.10-2,244.30-977.35

Finding the Fourth Proportional to 1,497.10, 2,244.30 and 977.35

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Solution

The fourth proportional to 1,497.10, 2,244.30 and 977.35 is: 1,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.10 : 2,244.30 = 977.35 : x
  2. Step 2: Convert to fraction form
    1,497.10/2,244.30 = 977.35/x
  3. Step 3: Cross multiply
    1,497.10x = 2,244.30 × 977.35
  4. Step 4: Simplify right side
    1,497.10x = 2,193,466.61
  5. Step 5: Solve for x
    x = 2,193,466.61/1,497.10
  6. Step 6: Final answer
    x = 1,465.14

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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.