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Finding the Fourth Proportional to 1,210.42, 1,803.51 and 1,157.32

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Solution

The fourth proportional to 1,210.42, 1,803.51 and 1,157.32 is: 1,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.42 : 1,803.51 = 1,157.32 : x
  2. Step 2: Convert to fraction form
    1,210.42/1,803.51 = 1,157.32/x
  3. Step 3: Cross multiply
    1,210.42x = 1,803.51 × 1,157.32
  4. Step 4: Simplify right side
    1,210.42x = 2,087,238.19
  5. Step 5: Solve for x
    x = 2,087,238.19/1,210.42
  6. Step 6: Final answer
    x = 1,724.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.