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Finding the Fourth Proportional to 1,137.51, 1,570.62 and 1,119.35

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Solution

The fourth proportional to 1,137.51, 1,570.62 and 1,119.35 is: 1,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.51 : 1,570.62 = 1,119.35 : x
  2. Step 2: Convert to fraction form
    1,137.51/1,570.62 = 1,119.35/x
  3. Step 3: Cross multiply
    1,137.51x = 1,570.62 × 1,119.35
  4. Step 4: Simplify right side
    1,137.51x = 1,758,065.64
  5. Step 5: Solve for x
    x = 1,758,065.64/1,137.51
  6. Step 6: Final answer
    x = 1,545.54

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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.