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Finding the Fourth Proportional to 1,774.16, 2,435.32 and 1,573.28

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Solution

The fourth proportional to 1,774.16, 2,435.32 and 1,573.28 is: 2,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.16 : 2,435.32 = 1,573.28 : x
  2. Step 2: Convert to fraction form
    1,774.16/2,435.32 = 1,573.28/x
  3. Step 3: Cross multiply
    1,774.16x = 2,435.32 × 1,573.28
  4. Step 4: Simplify right side
    1,774.16x = 3,831,440.25
  5. Step 5: Solve for x
    x = 3,831,440.25/1,774.16
  6. Step 6: Final answer
    x = 2,159.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.