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Finding the Fourth Proportional to 1,852.32, 2,779.92 and 1,737.48

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Solution

The fourth proportional to 1,852.32, 2,779.92 and 1,737.48 is: 2,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.32 : 2,779.92 = 1,737.48 : x
  2. Step 2: Convert to fraction form
    1,852.32/2,779.92 = 1,737.48/x
  3. Step 3: Cross multiply
    1,852.32x = 2,779.92 × 1,737.48
  4. Step 4: Simplify right side
    1,852.32x = 4,830,055.40
  5. Step 5: Solve for x
    x = 4,830,055.40/1,852.32
  6. Step 6: Final answer
    x = 2,607.57

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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.