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Finding the Fourth Proportional to 1,543.58, 2,130.19 and 880.42

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Solution

The fourth proportional to 1,543.58, 2,130.19 and 880.42 is: 1,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.58 : 2,130.19 = 880.42 : x
  2. Step 2: Convert to fraction form
    1,543.58/2,130.19 = 880.42/x
  3. Step 3: Cross multiply
    1,543.58x = 2,130.19 × 880.42
  4. Step 4: Simplify right side
    1,543.58x = 1,875,461.88
  5. Step 5: Solve for x
    x = 1,875,461.88/1,543.58
  6. Step 6: Final answer
    x = 1,215.01

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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.