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Finding the Fourth Proportional to 1,763.90, 2,434.01 and 977.93

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Solution

The fourth proportional to 1,763.90, 2,434.01 and 977.93 is: 1,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.90 : 2,434.01 = 977.93 : x
  2. Step 2: Convert to fraction form
    1,763.90/2,434.01 = 977.93/x
  3. Step 3: Cross multiply
    1,763.90x = 2,434.01 × 977.93
  4. Step 4: Simplify right side
    1,763.90x = 2,380,291.40
  5. Step 5: Solve for x
    x = 2,380,291.40/1,763.90
  6. Step 6: Final answer
    x = 1,349.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.