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Finding the Fourth Proportional to 1,780.16, 2,670.29 and 740.22

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Solution

The fourth proportional to 1,780.16, 2,670.29 and 740.22 is: 1,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.16 : 2,670.29 = 740.22 : x
  2. Step 2: Convert to fraction form
    1,780.16/2,670.29 = 740.22/x
  3. Step 3: Cross multiply
    1,780.16x = 2,670.29 × 740.22
  4. Step 4: Simplify right side
    1,780.16x = 1,976,598.36
  5. Step 5: Solve for x
    x = 1,976,598.36/1,780.16
  6. Step 6: Final answer
    x = 1,110.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.