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Finding the Fourth Proportional to 1,871.68, 2,582.78 and 1,032.40

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Solution

The fourth proportional to 1,871.68, 2,582.78 and 1,032.40 is: 1,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.68 : 2,582.78 = 1,032.40 : x
  2. Step 2: Convert to fraction form
    1,871.68/2,582.78 = 1,032.40/x
  3. Step 3: Cross multiply
    1,871.68x = 2,582.78 × 1,032.40
  4. Step 4: Simplify right side
    1,871.68x = 2,666,462.07
  5. Step 5: Solve for x
    x = 2,666,462.07/1,871.68
  6. Step 6: Final answer
    x = 1,424.64

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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.