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Finding the Fourth Proportional to 1,742.83, 2,405.51 and 1,070.47

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Solution

The fourth proportional to 1,742.83, 2,405.51 and 1,070.47 is: 1,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.83 : 2,405.51 = 1,070.47 : x
  2. Step 2: Convert to fraction form
    1,742.83/2,405.51 = 1,070.47/x
  3. Step 3: Cross multiply
    1,742.83x = 2,405.51 × 1,070.47
  4. Step 4: Simplify right side
    1,742.83x = 2,575,026.29
  5. Step 5: Solve for x
    x = 2,575,026.29/1,742.83
  6. Step 6: Final answer
    x = 1,477.50

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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.