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Finding the Fourth Proportional to 1,349.48, 2,024.22 and 977.01

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Solution

The fourth proportional to 1,349.48, 2,024.22 and 977.01 is: 1,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.48 : 2,024.22 = 977.01 : x
  2. Step 2: Convert to fraction form
    1,349.48/2,024.22 = 977.01/x
  3. Step 3: Cross multiply
    1,349.48x = 2,024.22 × 977.01
  4. Step 4: Simplify right side
    1,349.48x = 1,977,683.18
  5. Step 5: Solve for x
    x = 1,977,683.18/1,349.48
  6. Step 6: Final answer
    x = 1,465.52

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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.