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Finding the Fourth Proportional to 1,685.13, 2,325.50 and 977.01

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Solution

The fourth proportional to 1,685.13, 2,325.50 and 977.01 is: 1,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.13 : 2,325.50 = 977.01 : x
  2. Step 2: Convert to fraction form
    1,685.13/2,325.50 = 977.01/x
  3. Step 3: Cross multiply
    1,685.13x = 2,325.50 × 977.01
  4. Step 4: Simplify right side
    1,685.13x = 2,272,026.81
  5. Step 5: Solve for x
    x = 2,272,026.81/1,685.13
  6. Step 6: Final answer
    x = 1,348.28

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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.