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Finding the Fourth Proportional to 1,756.58, 2,419.17 and 1,459.13

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Solution

The fourth proportional to 1,756.58, 2,419.17 and 1,459.13 is: 2,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.58 : 2,419.17 = 1,459.13 : x
  2. Step 2: Convert to fraction form
    1,756.58/2,419.17 = 1,459.13/x
  3. Step 3: Cross multiply
    1,756.58x = 2,419.17 × 1,459.13
  4. Step 4: Simplify right side
    1,756.58x = 3,529,875.03
  5. Step 5: Solve for x
    x = 3,529,875.03/1,756.58
  6. Step 6: Final answer
    x = 2,009.52

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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.